3. (Population Density) A common way to approximate the population of a city is to produce a model for the radial population density p(x) measured in thousands of people per mile, x miles away from the city center. Suppose a city has a radial population density p(x) 50 x²+25 1000 people/ mi2. a. What is the population density for the following distances away from the city center? i. 5 miles away from the city center? ii. 10 miles away from the city center? measured in b. Find the population of the city if the radius of the entire city is 20 miles.

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Chapter1: Functions And Models
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3. (Population Density) A common way to approximate the population of a city is to produce a model
for the radial population density p(x) measured in thousands of people per mile, x miles away from the
city center.
Suppose a city has a radial population density p(x)
mi².
a. What is the population density for the following distances away from the city center?
i. 5 miles away from the city center?
ii. 10 miles away from the city center?
=
50
x²+25
measured in
1000 people/
b. Find the population of the city if the radius of the entire city is 20 miles.
Transcribed Image Text:3. (Population Density) A common way to approximate the population of a city is to produce a model for the radial population density p(x) measured in thousands of people per mile, x miles away from the city center. Suppose a city has a radial population density p(x) mi². a. What is the population density for the following distances away from the city center? i. 5 miles away from the city center? ii. 10 miles away from the city center? = 50 x²+25 measured in 1000 people/ b. Find the population of the city if the radius of the entire city is 20 miles.
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