Ap stats 2017 frq answers

AP® ST A TIS TICS 2017 SCORING GUIDELINES Question 1 Intent of Question The primary goals of this question were to assess a student's ability to (1) explain statistical terms used when describing the relationship between two variables; (2) interpret the slope of a linear regression

The distribution displays two clusters, with one cluster centered about 125 seconds and the other centered at about 260 seconds, and has a range of at most 250 seconds. Events D and E are independent, with P (D) = 0.6 and P (D and E)=0.18. Which of the following is true? Researchers used two footballs of the same size to examine the effects of ...Scoring. Steps 1, 2, 3, and 4 are scored as essentially correct (E), partially correct (P), or incorrect (I). Step 1 is scored as follows: Essentially correct (E) if the response identifies correct parameters AND both hypotheses are labeled and state the correct relationship between the parameters.Free-Response Questions. Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...The College Board has released free-response questions from 1998-2019, as well as 2021 which means you have dozens of official free-response questions to use for your studying. All the free-response questions include answer keys and sample responses. Unofficial AP Statistics Practice Tests and QuizzesAP Stats Unit 1 Practice FRQ Prompt Answers & Feedback. 19 min read • january 2, 2021. J. Jerry Kosoff. The FRQ section of the AP Stats exam can be tricky. To help, review these student responses to a unit 1 practice prompt, with corresponding feedback from Fiveable teacher Jerry Kosoff!AP® Statistics 2010 Free-Response Questions The College Board The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the College Board is composed of more than 5,700 schools, colleges, universities and other educational organizations.

Watch as Thinque Prep's master math instructors breaks down the AP Stats Sample FRQ step by step.0:00 - Intro00:15 - Part A 02:44 - Part B 04:48 - Part C 05:...2019 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part B . Time—1 hour . Number of questions—4 . NO CALCULATOR IS ALLOWED FOR THESE QUESTIONS. 3. The continuous function f is defined on the closed interval . −6 £ x £ 5. The figure above shows a portion of . the graph of . fAP® Statistics 2007 Free-Response Questions Form B The College Board: Connecting Students to College Success The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 5,000 schools, colleges, universities, and otherAP® Statistics 2005 Scoring Guidelines The College Board: Connecting Students to College Success ... Note: Unsupported answers in parts (a) and (c) are scored as incorrect. Part (b) is essentially correct (E) if the student: 1. States the new estimate based on 1,000 days should be closer to the expected value of 1.6; ORcomponent 1 nor component 2 is satisfied. Finally, because the response does not explain that the preferences of teachers and students might differ, component 3 is not satisfied. Because the response. essentially correct, and one part was scored as incorrect, the response earned a score of 2.Some key topics will include: experimental design, controls, variables, statistics (standard error) and data analysis. All Subjects. AP Biology. Exam Skills. 2017 FRQ Review. 2017 FRQ Review. april 22, 2020. rachel-aguilar. Resources. 📑 Summary ⏳ Timestamps 📚 Resources. The AP BIOLOGY 2017 FRQ review will cover key topics from the 2017 ...

Free-Response Questions. Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...Early Solutions for the 2022 AP Statistics Exam. For the first time in the history of the AP Statistics exam, there was not a free response question asking students to perform a full significance test! Our students were so disappointed. But this move by the College Board did open up room for some really great questions for this year's exam. As ...When you set up your wireless connection, the router or device that enables the connection is called an access point. The AP name is the name by which other devices list your wirel...AP® Macroeconomics Scoring Guidelines Set 1 Author: College Board Subject: Advanced Placement; AP; Keywords: 2021 ; AP Exam Administration ; Scoring Guidelines; scoring information; free-response scoring criteria; scoring resources; FRQ; teacher resources; exam information; ADA Created Date: 12/22/2022 2:51:49 PM

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2017 STATISTICS FREE-RESPONSE QUESTIONS 2. The manager of a local fast-food restaurant is concerned about customers who ask for a water cup when placing an order but fill the cup with a soft drink from the beverage fountain instead of filling the cup with water. The manager selected a random sample of 80 customers who asked for a water cup when ...Intent of Question. The primary goals of this question were to assess a student’s ability to (1) state the appropriate hypotheses; (2) identify and compute the appropriate test statistic; (3) make a conclusion in the context of the problem; and (4) compare two sets of proportions to identify the preferred habitat.AP Statistics 2017 FRQ 4 Student Samples Author: The College Board Subject: AP Statistics 2017 FRQ 4 Student Samples Keywords: AP Statistics; 2017 FRQ 4 Student Samples; exam resources; teacher resources Created Date: 8/28/2017 9:21:40 PM2017 SCORING GUIDELINES. 11. 10 points (4 + 2 + 1 + 1 + 2) 4 points: One point is earned for drawing a correctly labeled graph of the corn market with PM and QM. The market demand curve must be downward sloping and the market supply curve must be upward sloping. One point is earned for showing a horizontal demand curve on the firm's graph ...The College Board typically releases the free response questions for the AP Statistics Exam the Saturday following the exam. Starting early in the morning, we feverishly refresh the College Board website like we're trying to buy tickets for a Justin Timberlake concert. Once they are revealed, we spend Saturday afternoon writing up …The resources you need to succeed on the AP Calculus AB free response questions. Questions from 2017 and 2018 along with video solutions. ... Statistics; Physics. Physics 1; Physics 2; Physics C; Psychology; ... In these he solves the 2017 AP Calc free response questions. Be sure to try the questions first, then watch the videos.

2011 AP. STATISTICS FREE-RESPONSE QUESTIONS. GO ON TO THE NEXT PAGE. -12- (b) A tree diagram of the possible outcomes for a randomly selected twelfth-grade student is provided below. Write the correct probability in each of the five empty boxes. Some of the probabilities may be expressions in terms of.Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected] .III. Inferential Statistics Standardized test statistic: statistic − parameter standard deviation of statistic Confidence interval: statistic ± (critical value)·(standard deviation of statistic) Single-Sample Statistic Standard Deviation of Statistic Sample Mean σ √ n Sample Proportion r p(1−p) n Two-Sample Statistic Standard ...Time—30 minutes. Number of questions—2. A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. 1. A tank has a height of 10 feet. The area of the horizontal cross section of the tank at height h feet is given by the function A, where A h is measured in square feet. The function A is continuous and decreases as h. ()2017 FRQ Review - Stream Slides. april 6, 2020. B. Bob Amar. 📑 Summary. 📚 Resources. Previous topic. Next topic. 📊 Exam Skills study guides written by former AP Stats students to review Exam Skills with detailed explanations and practice questions.This is my interpretation of the free response question #3 from 2017. AP is a trademark registered and owned by the CollegeBoard, which was not involved in ...Part (a): Because the distribution of the daily number of absences is approximately normal with mean 120 students and standard deviation 10.5 students, the z-score for an absence total of 140 students is. z = 140 − 120 ≈ 1.90 . The table of standard normal probabilities or a calculator reveals that the.The AP Stat exam has 2 sections that take 90 minutes each. The first section is 40 multiple choice questions and the second section is 6 free response questions ... If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP Human Geography ... AP Scoring Statistics 2017 Free-Response Exam Section IB Short Answers . Mean Standard Deviation Number of Possible Points ; 1 * * 3 : 2 ; 1.57 0.99 : 3 : 3 ; 0.85 1.03 : 3 : 4 ; ... AP® United States History Scoring Statistics 2017 Free-Response Questions Author: College Board Subject: AP; Advanced Placement

Sure seems like the College Board wanted AP Stats students to understand two-way significance tests — a central feature in two separate problem parts. Also thought the wording and direction in …

Note: This is an example of 2020 Question 2, a multi-focus free-response item with allotted time of 15 minutes (plus 5 minutes to submit). Question 1 is a longer multi-focus free-response item, with allotted time of 25 minutes (plus 5 minutes to submit). Students at an agricultural station conducted a study to compare genetically modified (GM ...AP Statistics 2017 FRQ 3 Student Samples Author: The College Board Subject: AP Statistics 2017 FRQ 3 Student Samples Keywords: AP Statistics ; 2017 FRQ 3 Student Samples; exam resources; teacher resources Created Date: 8/28/2017 9:19:07 PMThis video is my attempt at the 2019 AP Statistics Free Response problem #5. You can buy a Normal Distribution Rubber Stamp here: https://amzn.to/2Ek3etd (it...Statistics Practice Exam From the 2012 Administration This Practice Exam from the 2012 international administration is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to use with their students in a classroom setting only. To maintain the security of this exam, teachers …This 2017 AP® Physics 2: Algebra-Based Free-Response Questions AP Test Prep is suitable for 11th - 12th Grade. In 2017, more than 15,000 scholars earned college credit based on their AP Physics 2 exam covering lenses, energy, and more. The College Board released the free-response questions, sample answers, and scoring guidelines from that exact exam.I usually can't find the answers to the progress check frqs, I just try my best, and if I get a good score, then I share my work for any fellow chem pals. But, if you dig deep enough on the web, the frq answers might be released. This was the case for the earlier progress check frqs prior to Unit 9. Hope this helps :)AP Statistics Practice Exams. AP Statistics Practice Exams Free Response Notes Videos Study Guides. Check out our listing of all the best AP Statistics practice exams. Each of these free online resources includes dozens of AP Stats multiple choice practice questions, and several have free response questions as well. Start your test prep right now!Intent of Question. The primary goals of this question were to assess a student’s ability to (1) state the appropriate hypotheses; (2) identify and compute the appropriate test statistic; (3) make a conclusion in the context of the problem; and (4) compare two sets of proportions to identify the preferred habitat.Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...2017: Free-Response Questions. 2016: Free-Response Questions. 2015: Free-Response Questions. 2014: Free-Response Questions. 2013: Free-Response …

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STATISTICS FREE-RESPONSE QUESTIONS. -13-. A dotplot of Peter's sample data is given below. Comparative dotplots of Rania's sample data are given below. (d) Using the dotplots above, explain why Rania's point estimator has a smaller estimated standard deviation than the estimated standard deviation of Peter's point estimator.Spottr is a PWA built to view your Spotify listening stats year-round. Receive Stories from @spiderpig86 Publish Your First Brand Story for FREE. Click Here.Results from the 2017 AP Statistics Exam Jessica Utts, University of California, Irvine. Chief Reader, AP Statistics. [email protected]. July 28, 2017 •State question •Present solution •Describe common student errors •Suggest teaching tips •Report average score (all at the end) Plan for each of the sixSample: 4B Score: 3 In section 1 the response states that the median of chemical Z is similar across all three sites, thus satisfying components 1 and 3. The response continues to explain that there are two differences: the interquartile ranges differ across sites, and the ranges differ across sites.AP® ST A TIS TICS 2017 SCORING GUIDELINES Question 1 Intent of Question The primary goals of this question were to assess a student's ability to (1) explain statistical terms used when describing the relationship between two variables; (2) interpret the slope of a linear regressionPart A Questions 1-5. Spend about 65 minutes on this part of the exam. Percent of Section II score—75. Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 1.Free-Response Questions. Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...1 2 1 : justification, using Mean Value Theorem. 2017 The College Board. Visit the College Board on the Web: www.collegeboard.org.Questions & Worked Solutions For AP Statistics 2021 Exam. AP Statistics 2021 Exam Questions (pdf) 2021 AP Statistics Free Response #1. 2021 AP Statistics Free Response #2. 2021 AP Statistics Free Response #3. Corrections for Question 3: (b) I left out an interpretation of the expected value. One way to write it would be to say “An employee ...AP ® Statistics 2022 Free-Response Questions . Begin your response to . QUESTION 1 . on this page. STATISTICS SECTION II . Total Time—1 hour and 30 minutes . 6 Questions . Part A Suggested Time—1 hour and 5 minutes 5 Questions . Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctnessEach essentially correct (E) part counts as 1 point, and each partially correct (P) part counts as 1⁄2 point. If a response is between two scores (for example, 2 1⁄2 points), use a …AP® Statistics 2003 Scoring Guidelines Form B. The materials included in these files are intended for use by AP teachers for course and exam preparation; permission for any other use must be sought from the Advanced Placement Program®. Teachers may reproduce them, in whole or in part, in limited quantities for noncommercial, face-to-face ... ….

The College Board released the free response questions from almost every year. My (completely unofficial) solutions to selected years are below. The College Board also publicly released the complete multiple choice for the 2004 and 2009 AP CS Exams. My solutions are below. The 2014 AP CS A Course Description included 25 high quality multiple ...Free-response questions, like the MCQs, are worth 50% of your total exam score, with the first five questions being worth 37.5% and the last investigative task being worth 12.5% overall! Free-response questions, similar to the MCQ, also allow the use of a calculator, and the same rules apply as before regarding what types of calculators you ... Show all work. (2 points: 1 point for the correct setup and 1 point for the correct answer.) 2 x 106 - 4 x 105 = 1.6 x 106 (1.6 x 106 / 2 x 106) x 100 = 80%. (c) The International Union for Conservation of Nature (IUCN) estimates that the elephant population will decline by 20 percent between 2015 and 2022. Select a point value to view scoring criteria, solutions, and/or examples and to score the response. 0 1 2 The student response accurately includes both of the criteria below.Download free-response questions from past AP French Language and Culture exams, along with scoring guidelines, ... Scoring Statistics. Score Distributions. Interpersonal Writing. Email Reply. Presentational Writing. ... AP French Language 2017 Audio Scripts. Audio Prompts. Task 2: Persuasive Essay | Transcript.Sometimes it's nice to see where you stack up among everyone in the US. Find out net worth by age stats here. Sometimes it's nice to see where you stack up among everyone in the US...AP Central is the official online home for the AP Program: apcentral.collegeboard.com. 12 points (4 + 4 + 2 + 2) (a) 4 points: One point is earned for a correctly labeled graph. One point is earned for showing a rightward shift in New Zealand's AD curve. One point is earned for the explanation that New Zealand's exports to Australia increase.Free-Response Questions. Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...AP Chemistry Scoring Guidelines from the 2019 Exam Administration Keywords: scoring guidelines; 2019 AP exam administration; teacher resources; exam resources; exam practice; exam scoring information; exam preparation; course preparation; AP Chemistry Scoring Guidelines from the 2019 Exam AdminiL | YÍ_r d1 sP+©q ?)°í ³ c$ Ap stats 2017 frq answers, 2017 SCORING COMMENTARY. Question 1 (continued) Sample: 1C. Score: 6. The response earned 1 point in part (a) for appropriate labels, units, and scaling. The response earned 1 point in part (b) for describing that the effect of caffeine on the long-term (24 hour) memory is a large increase in memory., 1964. 1963. 1962. 1961. 1960. 2020 FRQs and ANSWERS. In 2020 the AP chemistry exam was COVID affected, and the exam was offered in an online format only, with approx. 30, different FRQs being used in various combinations in the exams. The questions that a particular teacher's students were given were released to that individual teacher, but ..., The patient who stayed for 21 days is the only outlier using method B. An outlier using method B is a value located 2 or more standard deviations above, or below, the mean. Because Mean ± 2 × SD = 7.42 ± 2(2.37), then any value that is outside of the interval (2.68,12.16) is considered an outlier., Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]., The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 1900, the College Board was created to expand access to higher education. Today, the membership association is made up of over 6,000 of the world’s leading educational institutions and is dedicated to ... , AP® MACROECONOMICS 2014 SCORING GUIDELINES. MD. QUANTITY OF MONEY. 2014 Th e Colleg Board. Visit the College Board on the Web: www.collegeboard.org. Question. 3. 5 points (1 +2+2) (a) 1 point: • One point is earned for stating that United States exports to South Korea will increase., Section II: Free Response. 4 Questions | 1 Hour 30 Minutes | 50% of Exam Score. All free-response questions assess Computational Thinking Practice 3: Code Implementation, with the following focus: Question 1: Methods and Control Structures—Students will be asked to write program code to create objects of a class and call methods, and satisfy ..., Visit the College Board on the Web: www.collegeboard.org. AP Central is the oficial online home for the AP Program: apcentral.collegeboard.org. + =. - =. AP® STATISTICS 2017 SCORING GUIDELINES. Question 1 (continued) Partially correct (P) if the response includes only three of the four components. Incorrect (I) if the response does not meet ... , If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP Spanish Language and ..., Directions: Questions 1-3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4-7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. Write your response in the space provided following each question., answer is given as a decimal approximation, it should be correct to three places after the decimal point. Unless otherwise specified, the domain of a function is assumed to be the set of all real, Note: This is an example of 2020 Question 2, a multi-focus free-response item with allotted time of 15 minutes (plus 5 minutes to submit). Question 1 is a longer multi-focus free-response item, with allotted time of 25 minutes (plus 5 minutes to submit). Students at an agricultural station conducted a study to compare genetically modified (GM ..., On your graphs in part (a) show what will happen to each of the following in the short run. The market price and quantity of corn, labeled P* and Q*. (ii) The area of the profit or loss earned by the representative corn farmer, shaded completely. Relative to your answer in part (b), state what will happen to the market equilibrium price and ..., AP® ST A TIS TICS 2017 SCORING GUIDELINES Question 5 (continued) Step 4: State the conclusion in context, with linkage to the p-value. Because the p-value is very small …, Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ..., AP Statistics Practice Exams. AP Statistics Practice Exams Free Response Notes Videos Study Guides. Check out our listing of all the best AP Statistics practice exams. Each of these free online resources includes dozens of AP Stats multiple choice practice questions, and several have free response questions as well. Start your test prep right now!, AP Statistics. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket, Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]., See some pretty shocking stats about the effectiveness of display advertising. Trusted by business builders worldwide, the HubSpot Blogs are your number-one source for education an..., Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ..., AP Statistics 2017 FRQ 4 Student Samples Author: The College Board Subject: AP Statistics 2017 FRQ 4 Student Samples Keywords: AP Statistics; 2017 FRQ 4 Student Samples; exam resources; teacher resources Created Date: 8/28/2017 9:21:40 PM, Here's my own PDF solutions for the released 2023 AP exams for AP Calculus, Statistics, and Physics. If you're looking for help in AP Physics 1, check out a new course I've put together here AP Statistics PDF SolutionYouTube SolutionsFRQ #1 FRQ #2 FRQ #3FRQ #4FRQ #5 FRQ #6AP Calculus ABPDF Solution (AB)PDF Solution (BC) YouTube Solutions FRQ #1 (AB/BC)FRQ #2 (AB)FRQ #3 (AB/BC)FRQ #4 (AB/BC)FRQ ..., AP® Statistics Scoring Statistics 2017 Free-Response Questions . 2017 The College Board. Visit the College Board on the Web: www.collegeboard.org., The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 5,000 schools, colleges, universities, and other educational organizations. Each year, the College Board serves seven million students and their parents ..., Includes 5 pages filed with important advice. You will definitely want to review this. AP Statistics | Practice Exams | Free Response | Notes | Videos | Study Guides. All the online resources that you need to prep for the AP Statistics free response questions. Includes previous questions and answers along with FRQ tips., Answer Key for AP Statistics Practice Exam, Section I. Question 1: E Question 2: A Question 3: B Question 4: A Question 5: B Question 6: E Question 7: D Question 8: D Question 9: C Question 10: D Question 11: E Question 12: E Question 13: A Question 14: C Question 15: C Question 16: D Question 17: A Question 18: B Question 19: E Question 20: D ..., General Notes About 2017 AP Physics Scoring Guidelines. The solutions contain the most common method of solving the free-response questions and the allocation of points for this solution. Some also contain a common alternate solution. Other methods of solution also receive appropriate credit for correct work., AP® STATISTICS 2015 SCORING GUIDELINES Question 3 (continued) if one of the incorrect cumulative probabilities . P(X 1), P(X 1), or P(X 1) is stated AND computed correctly. Incorrect (I) if the response does not meet the criteria for E or P. Note: The probability can be calculated as . 1 P(X 0) 1 0.15 0.85. Part (b), Part A Questions 1-5. Spend about 65 minutes on this part of the exam. Percent of Section II score—75. Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 1., • Scoring Guidelines, Sample Student Responses, and Commentary Section I: Multiple Choice Listed below are the correct answers to the multiple-choice questions, the percent of AP students who answered each question correctly by AP grade, and the total percent answering correctly. Section I Answer Key and Percent Answering Correctly Item No. 1 ..., AP Statistics Practice Exam From the 2 015 Administration This Practic e Exa m is provided by the Colleg e Boar d fo r AP Exam preparation . Teacher s ar e permitted to download the material s an d mak e copies to use wit h thei r student s in a classroo m settin g onl y. T o maintai n th e securit y of this exam , teacher s shoul d collec t al l material s afte r thei r administratio n an d ..., AP® Statistics Scoring Statistics 2018 Free-Response Questions. Question Mean. Standard Deviation Number of Possible Points. 1 1.63. 1.13. 4. 2 1.08. 0.96. 4., Time—30 minutes. Number of questions—2. A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. 1. A tank has a height of 10 feet. The area of the horizontal cross section of the tank at height h feet is given by the function A, where A h is measured in square feet. The function A is continuous and decreases as h. ()