Problema Solution
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?
Answer provided by our tutors
Part A: Let 'x' represent the number of loads. x is the variable used in the equations.
Company A's total laundry charges for x loads: y1 = 20x + 8
Company B's total laundry charges for x loads: y2 = 24x + 4
Part B: Which company would charge less for 5 loads of laundry? Justify your answer.
x = 5
Company A's total laundry charges for 5 loads is: y1 = 20*5 + 8 = $108
Company B's total laundry charges for 5 loads is: y2 = 24*5 + 4 = $124
Since $108 < $124 Company A will charge less.
Part C: How much money is saved by using the services of Company A instead of Company B to clean 9 loads of laundry?
y2 - y1 = 24x + 4 - 20x - 8 = 4x - 4
For x = 9 we have:
y2 - y1 = 4*9 - 4 = $32
$32 are saved by using Company A.