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.

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it

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step-by-step explanation: