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Aleksandr [31]
3 years ago
7

A region with a 10-mile radius has a population density of about 1500 people per square mile. Find the number of people who live

in the region
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

The total population in the region is 942000

<u>Step-by-step explanation:</u>

Radius of the region= 10 miles

Population density= 1500 per square mile

Area of the region = 2π(r x r)

= 2π(10 x 10)

=2(3.14) (100)

= 628 square miles

Population = 1500 x 628

= 942000

The total population in the region is 942000

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Given:

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Thus,

\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24

\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}

\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}

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Therefore, the correct answers are selected as shown below;

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1 year ago
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