Question

Alexander was given a gift card for a coffee shop. Each morning, Alexander uses the card to buy one cup of coffee. Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance. Write an equation for A, in terms of x, representing the amount money remaining on the card after buying x cups of coffee.

Answer 1

Explanation:

Let A represent the amount of money remaining on the card after buying x cups of coffee.

Each cup of coffee costs $1.50, so after buying x cups of coffee, Alexander would have spent 1.5x dollars. If the card had a $9 remaining balance after buying 4 cups of coffee, then the initial amount on the card must have been 1.5*4 + 9 = 15 dollars.

Therefore, the equation for A in terms of x is:

A = 15 - 1.5x

This equation gives the amount of money remaining on the card after Alexander buys x cups of coffee. For example, if Alexander buys 7 cups of coffee, then he would have spent 1.5*7 = 10.5 dollars, and the amount of money remaining on the card would be:

A = 15 - 1.5*7 = 4.5 dollars