Population density The population density D (in people/mi?) in a large city is related to the distance x (in miles) from the center of the city by 5000x D = x? + 36 (a) What happens to the density as the distance from the center of the city changes from 20 miles to 25 miles? (b) What eventually happens to the density? (c) In what areas of the city does the population density ex- ceed 400 people/mi?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 64E
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Population density The population density D (in
people/mi?) in a large city is related to the distance x
(in miles) from the center of the city by
5000x
D =
x? + 36
(a) What happens to the density as the distance from the
center of the city changes from 20 miles to 25 miles?
(b) What eventually happens to the density?
(c) In what areas of the city does the population density ex-
ceed 400 people/mi?
Transcribed Image Text:Population density The population density D (in people/mi?) in a large city is related to the distance x (in miles) from the center of the city by 5000x D = x? + 36 (a) What happens to the density as the distance from the center of the city changes from 20 miles to 25 miles? (b) What eventually happens to the density? (c) In what areas of the city does the population density ex- ceed 400 people/mi?
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