To determine which system of equations represents Kaisorn and Thom's transportation costs, we need to understand how their deposits and trip costs interact.
1. Kaisorn's Calculation:
- Initial Deposit: Kaisorn deposits \[tex]$50.00 each month.
- Cost per Trip: \$[/tex]2.50 per trip.
Let's denote:
- [tex]\( x \)[/tex] as the number of trips Kaisorn takes.
- [tex]\( y \)[/tex] as the amount remaining on her card.
Since each trip reduces her balance by \[tex]$2.50, the remaining amount after \( x \) trips can be represented by:
\[
y = 50 - 2.5x
\]
2. Thom's Calculation:
- Initial Deposit: Thom deposits \$[/tex]40.00 each month.
- Cost per Trip: \[tex]$2.00 per trip.
Similarly, let's denote:
- \( x \) as the number of trips Thom takes.
- \( y \) as the amount remaining on his card.
Since each trip reduces his balance by \$[/tex]2.00, the remaining amount after [tex]\( x \)[/tex] trips can be represented by:
[tex]\[
y = 40 - 2x
\][/tex]
Based on the above calculations, the system of equations representing Kaisorn and Thom's transportation costs is:
[tex]\[
\begin{array}{c}
50 - 2.5x = y \\
40 - 2x = y
\end{array}
\][/tex]
The correct choice is:
[tex]\[
\begin{array}{c}
50 - 2.5x = y \\
40 - 2x = y
\end{array}
\][/tex]
