
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:The following graph shows a rough approximation of historical and projected median home prices for a country for the period 2000-2024.
C(t)
210 A
180
150
120
90
60
30
0
12 15 19 21 24 i
Here, t is time in years since the start of 2000, and C(t) is the median home price in thousands of dollars. The locations of stationary points and points of inflection are indicated on the graph. Analyze the graph's important features, and interpret each feature in terms of the median home
price.
The median home price was $
The median home price has two low points; first in the year
and again in the year
The median home price was decreasing most rapidly at the start of the year
when it was $
Assuming that the trend shown in the graph continued indefinitely, the median home price would approach a value of $
0
3
6
9
thousand at the start of 2000 (t = 0).
when it stood at $
thousand; the median home price peaked at the start of the year
when it was $
thousand, and increasing most rapidly at the start of the year
thousand in the long term.
at $
thousand.
thousand.
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