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Dmitry_Shevchenko [17]
3 years ago
5

A plumber charges $50 for a service call plus $80 per hour. If she spends no longer than 8 hours a day at any one site, find a l

inear function that represents her total daily charges C (in dollars) as a function of time t (in hours) spent at any one given location.
Mathematics
1 answer:
Paha777 [63]3 years ago
3 0

Answer:

C(t)=80t+50, \text{ for }t\leq 8.

Step-by-step explanation:

Let C represent total daily charges in dollars and t represent time in hours.

We have been given that a plumber charges $50 for a service call plus $80 per hour.  

The amount charged for t hours would be 80t.

The total amount charged for t hours would be C(t)=80t+50.

We are also told that plumber spends no longer than 8 hours a day at any one site, this means that time t have a restriction as:

t\leq 8

Therefore, our required cost function would be C(t)=80t+50, \text{ for }t\leq 8.

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