Question

The equation c = 3h + 5 models the total cost (c) of renting a bicycle for h number of hours at a particular bicycle shop in Venice Beach. Find the number of hours rented if the total cost was $44.

a) 13
b) 12
c) 11
d) 10

Answer 1

After solving the linear equation by substituting the total cost with $44 and isolating the variable h, we find that the bicycle was rented for 13 hours.

Step-by-step explanation:

The question involves solving a linear equation to determine the number of hours (h) rented, given the total cost (c) for renting a bicycle. The given equation is c = 3h + 5, where c represents the total cost and h is the number of hours the bicycle was rented. To find the number of hours rented when the total cost is $44, we can substitute c with 44 and solve for h.

Applying this to the given equation, we get:

1. 44 = 3h + 5
2. 44 - 5 = 3h (Subtract 5 from both sides)
3. 39 = 3h
4. h = 39 / 3 (Divide both sides by 3)
5. h = 13

Therefore, the bicycle was rented for 13 hours.