The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled as h(x) = 0.359x³ 15.198x2 + 221.738x + 826.514 square feet where x is the number of years since 1980, data from 7 ≤ x ≤ 21. + (Note: Use technology to complete the question.) (a) Locate the inflection point on the interval 7 < x < 21. (Round your answers to three decimal places.) (x, y) = Calculate the rate of change at that point. (Round your answer to three decimal places.) (b) Interpret the answers to part (a). (Round your answers to three decimal places.) The median size of a new single-family house built in the United States was increasing least rapidly square feet and was increasing at a rate of approximately square feet per year. Need Help? Read It years since 1980. At that time, the median size was approximately

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 as
h(x) = 0.359x³ – 15.198x² + 221.738x + 826.514 square feet
where x is the number of years since 1980, data from 7 ≤ x ≤ 21. † (Note: Use technology to complete the question.)
(a) Locate the inflection point on the interval 7 < x < 21. (Round your answers to three decimal places.)
(x, y):
=
Calculate the rate of change at that point. (Round your answer to three decimal places.)
(b) Interpret the answers to part (a). (Round your answers to three decimal places.)
The median size of a new single-family house built in the United States was increasing least rapidly
square feet and was increasing at a rate of approximately
square feet per year.
Need Help?
Read It
years since 1980. At that time, the median size was approximately
Transcribed Image Text:The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled as h(x) = 0.359x³ – 15.198x² + 221.738x + 826.514 square feet where x is the number of years since 1980, data from 7 ≤ x ≤ 21. † (Note: Use technology to complete the question.) (a) Locate the inflection point on the interval 7 < x < 21. (Round your answers to three decimal places.) (x, y): = Calculate the rate of change at that point. (Round your answer to three decimal places.) (b) Interpret the answers to part (a). (Round your answers to three decimal places.) The median size of a new single-family house built in the United States was increasing least rapidly square feet and was increasing at a rate of approximately square feet per year. Need Help? Read It years since 1980. At that time, the median size was approximately
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