Problem

Real Estate—Home Prices: Over the course of one year, the average price of homes for sale...

Real Estate—Home Prices: Over the course of one year, the average price of homes for sale in a certain area can be modeled by the function

P(x) = −30x2 + 2100x + 163,290

where x represents the number of weeks after January 1, and P(x) represents the average home price, measured in dollars.

(a) Find the average rate of change of the price from x = 10 weeks to x = 30 weeks.


(b) Graph the function in (a) in the viewing window [0, 52] by [0, 250,000] and determine the maximum price and the week at which that price is at its maximum.

Step-by-Step Solution

Request Professional Solution

Request Solution!

We need at least 10 more requests to produce the solution.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the solution will be notified once they are available.
Add your Solution
Textbook Solutions and Answers Search