Molly charges an hourly fee to watch a pet plus an initial fee of $12. Bennett charges an hourly fee, but no initial fee. Can Molly and Bennett make the same amount? Write and solve an equation to justify your answer

The hourly charges of Molly for pet watching must be less than that of Bennett for pet watching so that after some hours of work they will earn the same.

Step-by-step explanation:

Molly charges an hourly fee to watch a pet plus an initial fee of $12. And assume that Molly charges $2 fee per hour to watch a pet.

Therefore, the total amount that Molly charges for h hours of watching pets will be modeled by the equation

C = 12 + 2h ... (1)

Again, given that Bennett charges an hourly fee, but no initial fee. And assume that Bennett charges $3 fee per hour to watch a pet.

Therefore, we can write C = 3h ... (2)

Now, if Molly and Bennett make the same amount, then

12 + 2h = 3h

⇒ h = 12

Therefore, after 12 hours of watching a pet, they will earn the same.

There is no doubt that the hourly charges of Molly for pet watching must be less than that of Bennett for pet watching so that after some hours of work they will earn the same. (Answer)