The population density in a large city is related to the distance from the center of the city. It can be modeled by the function below: 5000x x² +36 D = where D is the population density, in people per square mile, and is the distance from the center of the city. For what distances(s) from the city's center is the population density 400 people per square mile? O 4.5 miles O 8 miles O 4.5 miles and 8 miles O The population density never reaches 400 people per square mile.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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The population density in a large city is related to the distance from the center of the city. It can be modeled by the function below:
5000x
2
x + 36
where D is the population density, in people per square mile, and is the distance from the center of the city.
For what distances(s) from the city's center is the population density 400 people per square mile?
D=
O 4.5 miles
O
8 miles
4.5 miles and 8 miles
The population density never reaches 400 people per square mile.
71
71
#
C
$
%
acer
&
X
✔
0
Transcribed Image Text:The population density in a large city is related to the distance from the center of the city. It can be modeled by the function below: 5000x 2 x + 36 where D is the population density, in people per square mile, and is the distance from the center of the city. For what distances(s) from the city's center is the population density 400 people per square mile? D= O 4.5 miles O 8 miles 4.5 miles and 8 miles The population density never reaches 400 people per square mile. 71 71 # C $ % acer & X ✔ 0
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