Question 16 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P
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 − 2.5x = y 40 − 2x = y
B
50 + 2.5x = y 40 + 2x = y
C
50 − 2.5y = x 40 − 2y = x
D
50 + 2.5y = x 40 + 2y = x
Explanation
Each account starts with its monthly deposit, and each trip subtracts the fare from the balance. Kaisorn’s remaining amount is therefore y = 50 − 2.5x, and Thom’s is y = 40 − 2x. These match choice A, which gives the remaining balance as a function of the number of trips.
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