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To solve this problem, let’s set up a table of values to calculate the remaining balance on the gift card after buying different numbers of cups of coffee. Each cup costs $2.50, and the initial amount on the card is $45.

### Step 1: Fill in the Table
We'll calculate the remaining balance after buying 0, 1, 2, and 3 cups of coffee.

1. **0 cups**: Starting balance is $45. No coffee is purchased, so the balance remains **$45**.
2. **1 cup**: $ 45 - 2.50 = 42.50 $
3. **2 cups**: $ 45 - 2 \times 2.50 = 45 - 5 = 40 $
4. **3 cups**: $ 45 - 3 \times 2.50 = 45 - 7.50 = 37.50 $

So, the table should look like this:

| Number of Cups of Coffee | Amount of Money Remaining on Card |
|--------------------------|-----------------------------------|
| 0                        | $45.00                            |
| 1                        | $42.50                            |
| 2                        | $40.00                            |
| 3                        | $37.50                            |

### Step 2: Write an Equation for $ A $
To represent the amount of money $ A $ remaining on the card after buying $ x $ cups of coffee, we can use the following equation:

\[
A = 45 - 2.50x
\]

In this equation:
- $ 45 $ is the initial balance.
- $ 2.50x $ represents the total cost of $ x $ cups of coffee.

Let me know if you'd like further explanation or have questions!

### Questions for Further Understanding
1. How would the table change if each cup of coffee cost $3.00?
2. How would the equation change if the initial amount was $50?
3. What if Malika bought two cups each morning—how would that impact the equation?
4. Can you use this equation to predict when the card balance will reach zero?
5. How would the equation change if each cup of coffee’s price included tax?

### Tip
When working with a sequence of repeated subtractions, using multiplication in an equation simplifies the process.

Malika was given a gift card for a coffee shop. Each morning, Malika uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and the original amount of money on the gift card was $45. Make a table of values and then write an equation for A, in terms of x, representing the amount of money remaining on the card after buying x cups of coffee.

Learn how to calculate the remaining balance on a $45 gift card after purchasing coffee at $2.50 per cup. Follow step-by-step to create a table of values and derive the equation A = 45 - 2.50x for the remaining amount. Suitable for Grades 6-8.

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