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.

Question

2 years ago

11

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.

Mathematics

2 answers:

Shkiper50 [21] · Answer 1 · 2022-09-11T08:48:51+03:00

Shkiper50 [21]2 years ago

8 0

ya the answ is good to hear ok bye t

alisha [4.7K] · Answer 2 · 2022-09-11T11:00:28+03:00

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