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A repair service charges $55.00 to come to your home plus $24.50 per hour. Find a function that describes the arithmetic sequence. Then find the total cost for a 7-hour job.

User BogdanM
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Answer:

f(x)=24.50x+55

Total cost for 7 hours: $226.5

Explanation:

We consider that x is the amount of hours.

24.5*7+55=226.5

171.5+55=226.5

User Farzad Vertigo
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To solve this, let's commence by setting up a function that illustrates the arithmetic sequence that gives the cost of the service based on the hours of work.

The repair service has a fixed fee to visit your home, which is $55. Then, they also charge an hourly rate of $24.50 for the work they perform. Therefore, the total cost, C(n), is given by the function:

C(n) = service_fee + hourly_rate * n

where
- n is the number of hours of work,
- service_fee is the fixed fee to visit your home, and
- hourly_rate is the rate they charge for an hour of work.

Here, service_fee is $55 and hourly_rate is $24.50.

Now, we can find out the total cost for a 7-hour job by substituting n = 7 into our cost function.

C(7) = service_fee + hourly_rate * 7

Substituting the known values:

C(7) = $55 + $24.5 * 7

So, the total cost for a 7-hour job would be $226.5. That’s how much it would cost to use this repair service for 7 hours.

User Fizz
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