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?
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.
To find the cost of a 7.5-ft by 8-ft rug, we can use the concept of proportions.
Let's start by finding the area of the 15-ft by 16-ft rug:
Area = length × width = 15 ft × 16 ft = 240 square ft.
Now, let's find the cost per square foot:
Cost per square foot = total cost / area = $348.00 / 240 sq ft = $1.45/sq ft.
To find the cost of the 7.5-ft by 8-ft rug, we need to find its area first:
Area of 7.5-ft by 8-ft rug = 7.5 ft × 8 ft = 60 square ft.
Now we can find the cost of the smaller rug:
Cost of 7.5-ft by 8-ft rug = area × cost per square foot = 60 sq ft × $1.45/sq ft = $87.00.
Therefore, it will cost the family $87.00 to buy a 7.5-ft by 8-ft rug.