Question

Which equation represents the amount of money, y, that is left after taking x trips using a pre-paid $25 subway card, where the price per trip is $1.75 each? Choose the correct equation from the options below:

A) y = 1.75x - 25
B) y = 1.75 + 25
C) y = -1.75x + 25"

Answer 1

The equation that represents the amount of money left after taking x trips using a pre-paid $25 subway card is y = 1.75x - 25.

Step-by-step explanation:

The correct equation that represents the amount of money, y, that is left after taking x trips using a pre-paid $25 subway card is y = 1.75x - 25.

To understand why this is the correct equation, let's break it down. The price per trip is $1.75, so for each trip taken, we subtract $1.75 from the total amount. Since x trips are taken, we multiply $1.75 by x. Additionally, since the initial amount on the card is $25, we subtract that from the total amount as well.

Therefore, the equation becomes y = 1.75x - 25, where y represents the amount of money left after x trips.