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?

a 50 − 2.5x = y
40 − 2x = y
b 50 + 2.5x = y
40 + 2x = y
c 50 − 2.5y = x
40 − 2y = x
d50 + 2.5y = x
40 + 2y = x

A. 50 − 2.5x = y

 40 − 2x = y

Step-by-step explanation:

We know that x represents the number of trips and y represents the amount remaining in each account, then, let's think in an example; after the first trip x = 1, therefore, Kaisorn's account must decrease from $50 to $50 - $2.5 = $47.5 = y, and Thom's account must decrease from $40 to $40 - $2 = $38 = y. Replacing x = 1 in each case gives:

A

50 − 2.5(1) = y

47.5 = y

   40 − 2(1) = y

   38 = y

B

50 + 2.5(1) = y

52.5 = y

 40 + 2(1) = y

 42 = y

C

50 − 2.5y = (1)

y = (1 - 50)/(-2.5)

y = 19.6

 40 − 2y = (1)

  y = (1 - 40)/(-2)

  y = 19.5

D

50 + 2.5y = (1)

y = (1 -50)/2.5

y = -19.6

 40 + 2y = (1)

 y = (1 - 40)/(2)

 y = -19.5

As it can be seen, option A is the correct one.

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step-by-step explanation:

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