In order to go throught the role booth more quickly, driver buys a $150 toll card. If $0.75 is removed fromt he card each the driver goes through the toll booth, which equation represents the amount of money remaining, R, on the card after the driver goes thought toll booth x times?

Question

A. R=150x-0.75
B.R=150-0.75x
C.R=150x+0.75
D.r=150+0.75x

Answer 1

To find the equation that represents the amount of money remaining \( R \) on the toll card after the driver goes through the toll booth \( x \) times, we can start with the initial amount on the card, which is $150. Each time the driver goes through the toll booth, $0.75 is deducted from the card.

To express this mathematically:

1. Start with the initial amount: $150.
2. Each time the driver goes through the toll booth, $0.75 is subtracted. If the driver goes through the toll booth \( x \) times, then the total amount deducted is \( 0.75x \).

Thus, the remaining amount \( R \) on the card can be represented by the equation:

\[ R = 150 - 0.75x \]

Looking at the provided options, the correct equation is:

B. \( R = 150 - 0.75x \)