Question

Anumeha is mowing lawns for a summer job. For every mowing job, she charges an initial fee of $10 plus a constant fee for each hour of work. Her fee for a 5-hour job, for instance, is $35.

Let F(t) denote Anumeha'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.

Answer 1

F(t)=5t+10, 5 dollars for each our plus 10 dollar initial fee

Answer 2

`F(t)=10+7t`

Explanation:

We know that Anumeha charges an initial fee of $10, this is an initial condition which represents the independent term in the function.

Then, she charges $35 for 5 hours, this means that the ratio of change is

`(35)/(5)=7`

That is, she charges $7 per hour. Now, let's call
`t` the hours, the given problem is modelled with the following expression

`F(t)=10+7t`

Therefore, the function's formula is

`F(t)=10+7t`