Question

At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the short termparking fee but patrons that park for more than 2 hours are charged at the long term parking fee. The parking cost can be modeledwith the following piecewise equation, where x represents the number of hours.f(x) = {12x, x ≤ 2 15x, x > 2How much would it cost to park at the train station for 7 hours?Enter your answer in the box.$

Answer 1

We have a fee that is modeled by the piecewise function:

`f(x)=\begin{cases}12x,x\le2 \\ 15x,x>2\end{cases}`

We have to find the total fee for x = 7 hours.

As x = 7 > 2, we use the second part of the function, 15x.

Then, we can calculate the fee as:

`f(7)=15(7)=107`

Answer: $107