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 y represent Anumeha's fee (in dollars) for a single job that took x hours for her to complete.
Complete the equation for the relationship between the fee and number of hours.
y=

Answer 1

Anumeha's fees = $35

No. of hours took to complete the task = 5hours

x = 5

y = 35

y = initial fee + (no.of hours) x (constant fee)

y = initial fee + (x) x (constant fee)

y = 10 + (xa)

35 = 10 + 5a

35 - 10 = 5a

25 = 5a

25/5 = a

5 = a

Therefore, y = 10 + xa

where a is the constant fee charged for each hour.