It costs a family $348.00 to buy a 15-ft-by-16-ft rug. If the cost is proportional to the area,

what will it cost the family to buy a 7.5-ft-by-8-ft rug?

1 answer

First, we need to find the area of the larger rug:

15 ft x 16 ft = 240 sq ft

Next, we can set up a proportion using the area and cost:

240 sq ft / $348 = x sq ft / y

We want to find the cost (y) of a 7.5-ft-by-8-ft rug, which has an area of:

7.5 ft x 8 ft = 60 sq ft

Substituting the values we know:

240 sq ft / $348 = 60 sq ft / y

Solving for y:

y = (60 sq ft x $348) / 240 sq ft
y = $87

Therefore, it will cost the family $87 to buy a 7.5-ft-by-8-ft rug.