Each month, Kaisorn deposits 50 point 00 dollars onto her public transportation card. It costs her 2 point 50 dollars per trip to ride the subway. Thom deposits 40 point 00 dollars on his public transportation card. It costs him 2 point 00 dollars 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 x is equal to y 40 plus 2 x is equal to y
B
50 minus 2 point 5 x is equal to y 40 minus 2 x is equal to y
C
50 plus 2 point 5 y is equal to x 40 plus 2 y is equal to x
D
50 minus 2 point 5 y is equal to x 40 minus 2 y is equal to x
Explanation
Each account starts with its monthly deposit, and each trip subtracts the cost of one ride from the remaining balance. Kaisorn’s balance is y = 50 − 2.50x, and Thom’s balance is y = 40 − 2x. Therefore, choice B, “50 minus 2.5x is equal to y; 40 minus 2x is equal to y,” represents their transportation costs.
AI-written and checked against the verified answer.