ne price of oil? 88. Median Home Prices The median home price in the United States over the period January 2010-January 2015 can be approximated by P(t) = 4.5t² – 15t + 180 thousand dollars (0 SI5 5), where t is time in years since the start of 2010.0° a. Compute the average rate of change of P(1) 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?
ne price of oil? 88. Median Home Prices The median home price in the United States over the period January 2010-January 2015 can be approximated by P(t) = 4.5t² – 15t + 180 thousand dollars (0 SI5 5), where t is time in years since the start of 2010.0° a. Compute the average rate of change of P(1) 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)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.2: Rates Of Change For Other Functions
Problem 15SBE
Related questions
Question
![ne price of oil?
88. Median Home Prices The median home price in the
United States over the period January 2010-January 2015
can be approximated by
P(t) = 4.5t² – 15t + 180 thousand dollars (0 SI5 5),
where t is time in years since the start of 2010.0°
a. Compute the average rate of change of P(1) 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F918e78ea-71c1-4498-b939-26d1fbba2dfb%2Ff1a6ccda-238c-45ef-abc2-8c8d25f72d4e%2F90t3uf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ne price of oil?
88. Median Home Prices The median home price in the
United States over the period January 2010-January 2015
can be approximated by
P(t) = 4.5t² – 15t + 180 thousand dollars (0 SI5 5),
where t is time in years since the start of 2010.0°
a. Compute the average rate of change of P(1) 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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