It costs a family $305.00 to buy a 16-ft-by-18-ft rug. If the cost is proportional to the area, what will it cost the family to buy a 8-ft-by-9-ft rug?

a. $145.42
b. $570.39
c. $76.25
d. $288.00

1 answer

The area of the 16-ft-by-18-ft rug is 16 x 18 = 288 square feet.

To find the cost per square foot, we can divide the total cost by the area:

305 รท 288 = 1.06

This means that the cost per square foot is $1.06.

The area of the 8-ft-by-9-ft rug is 8 x 9 = 72 square feet.

To find the cost of this rug, we can multiply the area by the cost per square foot:

72 x 1.06 = $76.32

Therefore, the family will need to pay $76.32 to buy the 8-ft-by-9-ft rug.

The closest answer choice is (c) $76.25, which is a reasonable approximation given that we rounded the cost per square foot to two decimal places.