The median home price in the United States over the period 2004-2009 can be approximated by
P(t) = −5t2 + 75t − 30 thousand dollars (4 ≤ t ≤ 9)
where t is time in years since the start of 2000.† Find P'(t) and P'(8) .
P'(t) = -10t + 75
P'(8) = -5
What does the answer tell you about home prices?
The median price of a home was decreasing at a rate of $_________ per year in ___________
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solve f'(x) = 0
-10t + 75 = 0
t = 7.5
the maximum median house price occurred after 7.5 years.
f(8) = -5 means that the rate of change in the median house price at t = 8 is -5 indicating the median house price has fallen
the last answer is 2008 and i believe you're missing a few zero's in the 2nd answer