Janis uses the equation C = 4h + 8 to find the total cost, C, in dollars, of renting a bike for h hours. If Janis does not spend more than $60, what is the maximum number of hours she can rent the bike?

Answer: she can rent the bike for a maximum of 13 hours.

Step-by-step explanation:

Let h represent the number of hours for which she rents the bike.

The equation used by Janis to find the total cost, C, in dollars, of renting a bike for h hours is expressed as

C = 4h + 8

If Janis does not spend more than $60, then it means that

4h + 8 ≤ 60

4h ≤ 60 - 8

4h ≤ 52

h ≤ 52/4

h ≤ 13

Therefore, the maximum number of hours for which she can rent the bike is 13.

Janis could rent the bike for 13 hours.

Step-by-step explanation:

Given the equation C = 4h + 8, and the information that Janis will NOT spend more than $60 we can say that:

Step 1

We will substitute the C for the maximum amount of money she will spend ($60)

So the equation will be: 60 = 4h + 8

Step 2

We need to isolate the variable by subtracting 8 to both sides of the equation to maintain the equality. We subtract because the equation is adding.

60 - 8 = 4h + 8 - 8

Therefor: 52 = 4h

Step 3

For the final step, we need to isolate the variable h, but this time, because the variable is being multiply by the 4, we need to divide by 4 on each side of the equation:

52 / 4 = 4h / 4

So 13 = h, or h = 13