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Each month, Kaisorn deposits $50.00 onto her public transportation card. It costs her $2.50 per trip to ride the subway. Thom deposits $40.00 on his public transportation card. It costs him $2.00 per trip to ride the subway.

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For this case, the first thing we must do is define variables.

We have then:

x: number of trips.

y: amount of money remaining.

We now write the equation for each person.

For Kaisorn we have:

[tex] y = -2.50x + 50 [/tex]

Pata Thom we have:

[tex] y = -2x + 40 [/tex]

Answer:

The system of equations that represents this situation is given by:

[tex] y = -2.50x + 50 [/tex]

[tex] y = -2x + 40 [/tex]

The system of equations that represents their transportation costs comprises y = 50 – 2.5x and y = 40 – 2x.

What is a system of equations?

Note: As this question is incomplete, the complete question is therefore presented before answering it as follows:

Each month, Kaisorn deposits $50.00 onto her public transportation card. It costs her $2.50 per trip to ride the subway. Thom deposits $40.00 on his public transportation card. It costs him $2.00 per trip to ride the subway.

If x represents the number of trips and y represents the amount remaining in each account, which system of equations represents their transportation costs?

The question is now answered as follows:

In mathematics, a system of equations is made up of two or more equations that are solved together.

Based on the question, we have:

Equation for Kaisorn: y = 50 – 2.5x

Equation for Thom: y = 40 – 2x

Therefore, the system of equations that represents their transportation costs is as follows:

y = 50 – 2.5x

y = 40 – 2x

Learn more about system of equations here: https://brainly.com/question/21620502.

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