Final answer:
To find the cost of enough carpeting to cover the floor of the room, find the dimensions of the room using the scale factor and calculate the area in square feet. Multiply the area by the cost per square foot of carpeting to get the total cost.
Step-by-step explanation:
To calculate the cost of buying enough carpeting to cover the floor of the room, we need to find the area of the room in square feet and then multiply it by the cost per square foot of carpeting. The scale drawing of the room measures 3 inches by 1 inch, and the scale is 1 inch = 2 feet. To find the dimensions of the actual room, we need to multiply the scale drawing dimensions by the scale factor:
Length: 3 inches * 2 feet = 6 feet
Width: 1 inch * 2 feet = 2 feet
The area of the room is length * width = 6 feet * 2 feet = 12 square feet. Therefore, the cost to buy enough carpeting to cover the floor of this room would be the area of the room multiplied by the cost per square foot of carpeting, which is $10:
Total cost = 12 square feet * $10/square foot = $120.