Average Price of Land The rectangular region R shown in the accompanying figure represents a city's financial district. ↑y (miles) 2 O00 000 00 x (miles) The price of land in the district is approximated by the function below, where p(x,y) is the price of land at the point (x,y) in dollars/square foot and x and y are measured in miles. p(x, y) = 180 - - 13(y – 1)2 x- What is the average price of land per square foot in the district? (Give your answer correct to the nearest dollar.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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Average Price of Land The rectangular region R shown in the accompanying figure represents a city's financial district.
Ay (miles)
2
000
R
00
-x (miles)
The price of land in the district is approximated by the function below, where p(x,y) is the price of land at the point (x,y) in dollars/square foot and x and y are measured in miles.
p(x, y) = 180 - 9 x -
- 13(y – 1)2
What is the average price of land per square foot in the district? (Give your answer correct to the nearest dollar.)
$
口
Transcribed Image Text:Average Price of Land The rectangular region R shown in the accompanying figure represents a city's financial district. Ay (miles) 2 000 R 00 -x (miles) The price of land in the district is approximated by the function below, where p(x,y) is the price of land at the point (x,y) in dollars/square foot and x and y are measured in miles. p(x, y) = 180 - 9 x - - 13(y – 1)2 What is the average price of land per square foot in the district? (Give your answer correct to the nearest dollar.) $ 口
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