It costs a family $324.00 to buy a 10-ft-by-12-ft rug. If the cost is proportional to the area, what will it cost the family to buy a 15-ft-by-18-ft rug?
(1 point)
Responses
$729.00
$729.00
$270.00
$270.00
$388.80
$388.80
$466.56
$729.00
Explanation:
The cost of the rug is directly proportional to its area.
The ratio of the area of the 10-ft-by-12-ft rug to the 15-ft-by-18-ft rug is 2:3 (since 15/10 = 1.5 and 18/12 = 1.5).
Therefore, to find the cost of the larger rug, we multiply the cost of the smaller rug ($324.00) by the ratio of the areas (3/2).
$324.00 x (3/2) = $486.00
Therefore, it will cost a family $729.00 to buy a 15-ft-by-18-ft rug.