# Question #de7ee

Sep 28, 2016

Keith rented the bike for $8$ hours.

#### Explanation:

Let $p$ represent the price of a rental, and $h$ represent the number of hours it was rented for. Then we can represent the model given as

$p = 7 h + 18$

Keith paid $74$ dollars for his rental, meaning we have $p = 74$. Our goal is to solve for $h$. Substituting our value for $p$ into the above equation, we get

$74 = 7 h + 18$

$\implies 74 - 18 = 7 h + 18 - 18$

$\implies 56 = 7 h$

$\implies \frac{56}{7} = \frac{7 h}{7}$

$\implies 8 = h$

Thus Keith rented the bike for $8$ hours.