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price in the United States over the period January 2010–January 2015 88. Median Home can be approximated by P(t) = 4.5t2 - 15t + 180 thousand dollars (0 SIS5), %3D where t is time in years since the start of 2010.66 a. Compute the average rate of change of P(t) over the interval [1, 5], and interpret your answer. [HINT: See Example 3 of Section 10.4.] b. Estimate the instantaneous rate of change of P(t) at t = 1, and interpret your answer. [HINT: See Example 2(a).] c. The answers to parts (a) and (b) have opposite sign. What does this indicate about the median home price!

price in the United States over the period January 2010–January 2015 88. Median Home can be approximated by P(t) = 4.5t2 - 15t + 180 thousand dollars (0 SIS5), %3D where t is time in years since the start of 2010.66 a. Compute the average rate of change of P(t) over the interval [1, 5], and interpret your answer. [HINT: See Example 3 of Section 10.4.] b. Estimate the instantaneous rate of change of P(t) at t = 1, and interpret your answer. [HINT: See Example 2(a).] c. The answers to parts (a) and (b) have opposite sign. What does this indicate about the median home price!

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterP: Prologue: Calculator Arithmetic
Section: Chapter Questions
Problem 10E: Heart Disease In a certain country, the number of deaths due to heart disease decreased from 235 in...
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United States over the period January 2010-January 2015 88. Median Home Prices The median home price in the P(t) = 4.5t2 - 15t + 180 thousand dollars (0 <tS 5), can be approximated by a- P(t) = 4.5t2- 15t + 180 thousand dollars (0St5), where t is time in years since the start of 2010 66 a. Compute the average rate of change of P(t) over the interval [1, 5], and interpret your answer. [HINT: See Example 3 of Section 10.4.] b. Estimate the instantaneous rate of change of P(t) at t = 1, and interpret your answer. [HINT: See Example 2(a).] c. The answers to parts (a) and (b) have opposite sign. What does this indicate about the median home price!
Transcribed Image Text:United States over the period January 2010-January 2015 88. Median Home Prices The median home price in the P(t) = 4.5t2 - 15t + 180 thousand dollars (0 <tS 5), can be approximated by a- P(t) = 4.5t2- 15t + 180 thousand dollars (0St5), where t is time in years since the start of 2010 66 a. Compute the average rate of change of P(t) over the interval [1, 5], and interpret your answer. [HINT: See Example 3 of Section 10.4.] b. Estimate the instantaneous rate of change of P(t) at t = 1, and interpret your answer. [HINT: See Example 2(a).] c. The answers to parts (a) and (b) have opposite sign. What does this indicate about the median home price!
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