The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. † (a) Determine the value of x in the domain: 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)? (b) Thus, in which year was the median house size was increasing least rapidly? (Round your answer up to the nearest year.) (c) Find the corresponding house size. (Round your answer to one decimal place.) ____square ft (d) Find the corresponding rate of change in house size. (Round your answer to three decimal places.) ____square feet per year
The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. † (a) Determine the value of x in the domain: 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)? (b) Thus, in which year was the median house size was increasing least rapidly? (Round your answer up to the nearest year.) (c) Find the corresponding house size. (Round your answer to one decimal place.) ____square ft (d) Find the corresponding rate of change in house size. (Round your answer to three decimal places.) ____square feet per year
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation
H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet
where x is the number of years after 1980. †
(a) Determine the value of x in the domain: 7 ≤ x ≤ 21
for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)?
(b) Thus, in which year was the median house size was increasing least rapidly? (Round your answer up to the nearest year.)
(c) Find the corresponding house size. (Round your answer to one decimal place.)
____square ft
(d) Find the corresponding rate of change in house size. (Round your answer to three decimal places.)
____square feet per year
for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)?
(b) Thus, in which year was the median house size was increasing least rapidly? (Round your answer up to the nearest year.)
(c) Find the corresponding house size. (Round your answer to one decimal place.)
____square ft
(d) Find the corresponding rate of change in house size. (Round your answer to three decimal places.)
____square feet per year
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