Jordan K. answered • 09/08/15

Tutor

4.9
(79)
Nationally Certified Math Teacher (grades 6 through 12)

Hi Shelby,

Let's begin by setting up a proportion which we can use to solve for the number of square miles occupied by a family of 4 (4 people):

7,200,000,000 : 65,755 = 4 : x

Now let's set the cross products of the proportion equal to each other and solve the equation for x:

(7,200,000,000)(x) = (65,755)(4)

7,200,000,000x = 263,020

x = 263,020 / 7,200,000,000

x = 0.00003653055 square miles

So we now know that 4 people will occupy 0.00003653055 square miles.

Now we need to convert square miles to square feet as per the answer required in our problem:

1. √0.00003653055 = 0.00604405125 mi

2. (0.00604405125 mi)(5,280 / mi) = 32 feet

3. (32)

^{2}= 1024 square feetLook like choice D is an excellent approximation of our answer.

This problem required a two-prong approach: first set up a proportion to find the space in square miles occupied by 4 people and then convert that space to square feet.

Thanks for submitting this problem and glad to help.

God bless, Jordan.