Question

Ake is comparing the prices of two laundry service companies. Company A charges $20 per load and an additional $8 as service charges. Company B charges $24 per load and an additional $4 as service charges.

Part A: Write an equation to represent each company's total charges for cleaning a certain number of loads of laundry. For both equations (one for Company A and one for Company B), define the variable used. (4 points)

Part B: Which company would charge less for 5 loads of laundry? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company A instead of Company B to clean 9 loads of laundry? (3 points)

(10 points)

Answer 1

Please read the answers below.

Explanation:

A. Write an equation to represent each company's total charges for cleaning a certain number of loads of laundry.

Company A equation (using x as the variable for the total cost and y for the number of loads)

x = 20y + 8

Company B equation (using z as the variable for the total cost and y for the number of loads)

z = 24y + 4

B. Which company would charge less for 5 loads of laundry?

Company A

x = 20 * 5 + 8

x = US$ 108

Company B

z = 24 * 5 + 4

z = US$ 124

Company A will charge US$ 108, US$ 16 less than Company B

C, How much money is saved by using the services of Company A instead of Company B to clean 9 loads of laundry?

Company A

x = 20 * 9 + 8

x = US$ 188

Company B

z = 24 * 9 + 4

z = US$ 220

Company A will charge US$ 188, US$ 32 less than Company B