Question

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6 for each hour of work. Her total fee for a 44-hour job, for instance, is \$32$32. Let F(t)F(t) denote Carolina's fee for a single job FF (measured in dollars) as a function of the number of hours tt it took her to complete it.

Answer 1

y=8+6t

Explanation:

Answer 2

`F(t)=6t+8`.

Explanation:

Let t represent number of hours.

We have been given that Carolina charges $6 for each hour of work. So amount charged for t hours of work would be
`6t`.

Let us find initial cost by subtracting charges for 4 hours from 32 as:

`\text{Initial cost}=32-4* 6`

`\text{Initial cost}=32-24`

`\text{Initial cost}=8`

The total cost for t hours of work would be initial cost plus cost per hour:
`6t+8`.

Our required function would be
`F(t)=6t+8`.