Question

Module 9 Math Performance Task: Mrs. Zacharias wants to put carpeting in a rectangular family room and a square office in her home. The length and width of the family room is 16 feet by 18 feet. One side of the square office is 14 feet. It will cost $4.50 per square foot to carpet the rooms. A. Write an expression that can be used to find the total amount Mrs. Zacharias will pay for the carpeting. (3 pts) B. Evaluate the expression. How much will Mrs. Zacharias pay for the carpeting? (3 pts) Bonus Challenge: C. What will be the total amount with 8% sales tax? SHOW ALL YOUR WORK: (4 pts)​

Answer 1

Explanation:

A. To find the total amount Mrs. Zacharias will pay for the carpeting, we need to find the area of the family room and the square office, add them together, and then multiply by the cost per square foot.

The area of the family room is length times width:

16 feet x 18 feet = 288 square feet

The area of the square office is one side squared:

14 feet x 14 feet = 196 square feet

So the expression to find the total cost of the carpeting would be:

Total cost = (288 + 196) x $4.50

B. To evaluate the expression, we simply need to multiply the sum of the two areas by the cost per square foot:

(288 + 196) x $4.50 = 484 x $4.50 = $2,178

Therefore, Mrs. Zacharias will pay $2,178 for the carpeting.

Bonus Challenge:

C. To find the total amount with 8% sales tax, we need to multiply the total cost by 1.08 (which is 100% plus the 8% sales tax rate).

Total cost with sales tax = $2,178 x 1.08 = $2,349.84

Therefore, the total amount Mrs. Zacharias will pay for the carpeting with 8% sales tax is $2,349.84.