The average annual price of single-family homes in a county between 2000 and 2010 is approximated by the function P(t) = 0.413t3 - 9.454t2 + 68.249t + 200 (0 sts 10) where P(t) is measured in thousands of dollars and t is measured in years, with t = 0 corresponding to 2000. (a) When was the average annual price of single-family homes in the county highest? Round your answer to two decimal places. t = years after 2000 (b) What was the highest average annual price during the period in question? Round your answer to the nearest whole dollar. dollars Complete the following parts. (c) To answer the two questions above, we need the critical numbers of -Select--- . (d) These critical numbers in the interval (0, 10) are as follows. (Round your answers to two decimal places. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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The average annual price of single-family homes in a county between 2000 and 2010 is approximated by the function
P(t) = 0.413t3 - 9.454t2 + 68.249t + 200
(0 sts 10)
where P(t) is measured in thousands of dollars and t is measured in years, with t = 0 corresponding to 2000.
(a)
When was the average annual price of single-family homes in the county highest? Round your answer to two decimal places.
t =
years after 2000
(b)
What was the highest average annual price during the period in question? Round your answer to the nearest whole dollar.
dollars
Complete the following parts.
(c) To answer the two questions above, we need the critical numbers of ---Select--- C
(d)
These critical numbers in the interval (0, 10) are as follows. (Round your answers to two decimal places. Enter your answers
as a comma-separated list. If an answer does not exist, enter DNE.)
t =
Transcribed Image Text:The average annual price of single-family homes in a county between 2000 and 2010 is approximated by the function P(t) = 0.413t3 - 9.454t2 + 68.249t + 200 (0 sts 10) where P(t) is measured in thousands of dollars and t is measured in years, with t = 0 corresponding to 2000. (a) When was the average annual price of single-family homes in the county highest? Round your answer to two decimal places. t = years after 2000 (b) What was the highest average annual price during the period in question? Round your answer to the nearest whole dollar. dollars Complete the following parts. (c) To answer the two questions above, we need the critical numbers of ---Select--- C (d) These critical numbers in the interval (0, 10) are as follows. (Round your answers to two decimal places. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t =
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