Question

Cody was given a gift card for a coffee shop. Each morning, Cody uses the card to buy one cup of coffee. The original amount of money on the gift card was $30 and after purchasing 6 cups of coffee, the card had a $12 remaining balance. Write a equation for A, in terms of x, representing the amount of money remaining on the card after buying x cups of coffee

Answer 1

The equation for A is;

`A=30-3x`

Step-by-step explanation:

Firstly, let us calculate price of one cup of coffee.

Given;

The original amount of money on the gift card was $30

after purchasing 6 cups of coffee, the card had a $12 remaining balance.

The price per cup of coffee will be;

`\begin{gathered} p=(30-12)/(6) \\ p=(18)/(6) \\ p=\text{ \$3} \end{gathered}`

If x represent the number of cups of coffee and A represent the amount of money remaining after x cups.

Then we can express A as;

`\begin{gathered} A=\text{ \$30 - p(x)} \\ A=30-3x \end{gathered}`

The equation for A is;

`A=30-3x`