Question

Wendy will have new carpet installed on her rectangular bedroom floor. The floor is 15 feet in length and 12 feet in width. The carpet costs $27.50 per square yard, and installation costs $4.15 per square yard. Which statement about the total cost of the carpet and installation is true?

a. The total cost is $379.80 since $31.65×12 = $379.80.

b. The total cost is $633.00 since $31.65×20 = $633.00.

c. The total cost is $474.75 since $31.65×15 = $474.75.

d. The total cost is $4,950.00 since $27.50×180 = $4,950.00

Answer 1

Answer: The statement "d. The total cost is $4,950.00 since $27.50×180 = $4,950.00" is incorrect.

The first step is to convert the dimensions of the floor from feet to yards. Since 1 yard = 3 feet, the length of the floor is 15 feet / 3 feet/yard = 5 yards, and the width of the floor is 12 feet / 3 feet/yard = 4 yards. The total area of the floor is 5 yards * 4 yards = 20 square yards.

The total cost per square yard for carpet and installation is $27.50 + $4.15 = $31.65.

The total cost for carpet and installation for the entire floor is 20 square yards * $31.65/square yard = $633.00.

So, the statement "b. The total cost is $633.00 since $31.65×20 = $633.00" is correct.

Explanation: