A county has a population density of 257 people per square mile. The county population is 4288. What is the area of this county? Round to th

Question

A county has a population density of 257 people per square mile. The county population is 4288. What is the area of this county? Round to the nearest square mile if necessary

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1 week 2021-10-06T09:37:52+00:00 1 Answer 0

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    2021-10-06T09:39:47+00:00

    Answer: 17 miles

    Step-by-step explanation:

    Hi, to answer this question we have to apply proportions:

    A county has a population density of 257 people per square mile.  

    The proportion is : 257 people / 1 square mile  

    For 4288 people: 4288 people / x miles

    So:

    257 people / 1 square mile = 4288 people / x miles

    257/1 = 4288 /x

    Solving for x

    x = 4288/ (257/1)

    x = 16.68 = 17 miles (rounded)

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