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 equations to represent Company A and Company B's total laundry charges for a certain number of loads. Define the variable used in the equations.

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

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

Question

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 equations to represent Company A and Company B's total laundry charges for a certain number of loads. Define the variable used in the equations. 

Part B: Which company would charge less for 5 loads of laundry? Justify your answer. 

Part C: How much money is saved by using the services of Company A instead of Company B to clean 9 loads of laundry?

anonymous · Answer

Company A: 20x + 8
Company B: 24x + 4

where x = # of loads

Part A: see above

Part B: For 5 loads, Company A would be20(5) + 8 = $108
Company B would be 24(5) + 4 = $124

Company A would charge less.

PART C: For 9 loads,

Company A: 20(9) + 8 = $188
Company B: 24(9) + 4 = $220

You would save $32 by using Company A.