Jake 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)

Respuesta :

Part A: Write an equation to represent each company's total charges for cleaning a certain number of loads of laundry. 
lets x = # of loads
Company A : 20x + 8
Company B:  24x + 4

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

Company A : 20x + 8 = 20(5) + 8 = 100 + 8 = 108
Company B:  24x + 4 = 24(5) + 4 = 120 + 4 = 124

Company A charges $16 less than company B for 5 loads of laundry

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)

Company A : 20x + 8 = 20(9) + 8 = 180 + 8 = 188
Company B:  24x + 4 = 24(9) + 4 = 216 + 4 = 220

220 - 188 = $32

You would save $32 by using the services of Company A instead of Company B to clean 9 loads of laundry