Question

A local arcade charges $15.00 for unlimited play time for the first hour, then $5.00 per additional hour. On a piece of paper, write an equation that represents the cost to play, C , based on the number of hours played, h. Then use the equation to calculate how much it would cost to play for three hours. Enter your answer for C , including cents.(1 point)
$

Answer 1

To represent the cost to play based on the number of hours played, we can set up the equation as follows:

\[
C =
\begin{cases}
15.00 & \text{if } 0 < h \leq 1 \\
15.00 + 5.00 \times (h - 1) & \text{if } h > 1
\end{cases}
\]

Now, let's calculate the cost for playing for three hours (h = 3):

Since \( h > 1 \), we will use the second part of the equation:

\[
C = 15.00 + 5.00 \times (3 - 1)
\]
\[
C = 15.00 + 5.00 \times 2
\]
\[
C = 15.00 + 10.00
\]
\[
C = 25.00
\]

Thus, the cost to play for three hours is:

\[
C = 25.00
\]

So the answer is \(C = 25.00\).