A plumber chargers $50 for a service call plus $75 per hour. The total of these costs (in dollars) is a function C (t) of the time t (in hours) on the job. For how many hours will the cost be $200? $300? Explain answer.

Question

Mathematics

Chance Harvey

30 August, 00:19

A plumber chargers $50 for a service call plus $75 per hour. The total of these costs (in dollars) is a function C (t) of the time t (in hours) on the job. For how many hours will the cost be $200? $300? Explain answer.

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Answers (2)

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Marissa Hamilton · Answer 1

Cost=50+70 * (t)

200=50+70 * (t)

150=70 * (t)

t=2.14 Hours

300=50+70 * (t)

250=70 * (t)

t=3.57 Hours

Alena Figueroa · Answer 2

So cost=50+75t

so 200=50+75t

subtract 50 from both sides

150=75t

divide both sides by 75

2=t

$200=2 hours

50+75t=cost

300=50+75t

subtract 50 from both sides

250=75t

divide both sides by 75

10/3=t=200 mins=3hours 20 mins=$300