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 ___________

Question

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 ___________

anonymous · Answer

attachment

campbell_st · Answer

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

anonymous · Answer

the last answer is 2008 and i believe you're missing a few zero's in the 2nd answer

campbell_st · Answer

the -5 means - $5000per year

anonymous · Answer

^

anonymous · Answer

ohhh thats right cause it was in thousands of dollars

anonymous · Answer

i don't like the way they did that lol they should have just made the output come out in thousands instead of saying thousands of dollarsat thend -.-