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's 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?
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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.
$20 per load
$24 per load
Let l be the number of loads
Company A = 20 l + 8
Company B = 24 l + 4
Company A = 20*5 + 8
Company B = 24*5 + 4
Company A charges less
Company A = 20*9 + 8
Company B = 24*9 + 4
220 - 188 = 32
You save $32.