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?
Answer
A
50 plus 2 point 5 y is equal to x 40 plus 2 y is equal to x
B
50 minus 2 point 5 y is equal to x 40 minus 2 y is equal to x
C
50 plus 2 point 5 x is equal to y 40 plus 2 x is equal to y
D
50 minus 2 point 5 x is equal to y 40 minus 2 x is equal to y
Explanation
The amount remaining equals the starting deposit minus the cost of each trip multiplied by the number of trips. Kaisorn’s balance is y = 50 − 2.5x, and Thom’s balance is y = 40 − 2x. These are the equations in choice D.
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