Your clothes washer stopped working during the spin cycle and you need to get a person in to fix the | MathCelebrity Forum

Your clothes washer stopped working during the spin cycle and you need to get a person in to fix the

math_celebrity

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Your clothes washer stopped working during the spin cycle and you need to get a person in to fix the washer. Company A costs $20 for the visit and $15 for every hour the person is there to fix the problem. Company B costs $40 for the visit and $5 for every hour the person is there to fix the problem. When would Company B be cheaper than Company A?

Set up the cost functions:
  • Company A: C(h) = 15h + 20
  • Company B: C(h) = 5h + 40

Set them equal to each other:
15h + 20 = 5h + 40

Using our equation solver, we get h = 2.

With h = 3 and beyond, Company B becomes cheaper than Company A.
 
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