[Density and Population] In a triangular city whose vertices are (1,0), (3,2), and (3,-2), with units of distance in miles. The population density (in hundreds of people/sq. mi.) can be given by p(x, y) = 10+zy-y². (a) Find where in the city the population density is lowest or highest. (b) Calculate the total number of people who live in the city.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 9E
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8. [Density and Population] In a triangular city whose vertices are (1,0), (3, 2), and (3,-2), with units of
distance in miles. The population density (in hundreds of people/sq. mi.) can be given by
p(x, y) = 10+zy-y².
(a) Find where in the city the population density is lowest or highest.
(b) Calculate the total number of people who live in the city.
Transcribed Image Text:8. [Density and Population] In a triangular city whose vertices are (1,0), (3, 2), and (3,-2), with units of distance in miles. The population density (in hundreds of people/sq. mi.) can be given by p(x, y) = 10+zy-y². (a) Find where in the city the population density is lowest or highest. (b) Calculate the total number of people who live in the city.
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