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

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)