Question

Anumeha is mowing the lawns for a summer job. For every mowing job, she charges and 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 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 functions formula

Answer 1

Answer:

F(t) = 10 +5t

Step-by-step explanation:

Income equals the initial fee plus the hours worked times the hourly rate

We know the initial fee = 10

hours = t

hourly rate =r

F(t) = 10 + r*t

We know a 5 hour job is 35 dollars

35 = 10 + r*5

Subtract 10 from each side

35-10 = 10-10 +5r

25 = 5r

Divide by 5

25/5 = 5r/5

5 =r

The hourly rate is 5

F(t) = 10 +5t