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

Answer:

$F(t)=10+7t$

Step-by-step 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

$\frac{35}{5}=7$

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

$F(t)=10+7t$

Answer 2

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