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Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 sign, for each hour of work. Her total fee for a 4-hour job, for instance, is $32. Let F(t), denote Carolina's fee for a single job F (measured in dollars) as a function of the number of hours t it took her to complete it. Write the function's formula.

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Answer: F(t) = 8 + 6t

Step-by-step explanation:

Hi to answer this question we have to write an equation analyzing the information given:

  • Initial fee: x
  • Hours of work: t
  • Price per hour: $6

So, if he earned $32 for a 4 hour job, the expression will be:

x + (6x4)=32

Solving for x

x + 24 =32

x =32-24

x= 8

The initial fee is $8.

In conclusion, the function's formula for a fee for a single job F will be:

F(t) = 8 + 6t

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