Mei Mei was given a gift card for a coffee shop. Each morning, Mei Mei uses the card to buy one cup of coffee. The original amount of money on the gift card was $15 and each cup of coffee costs $3. Make a table of values and then write an equation for A, commaA, in terms of x, commax, representing the amount money remaining on the card after buying xx cups of coffee.


Let's break this problem down step by step:

### Step 1: Define variables
- Let $ A $ represent the amount of money remaining on the card (in dollars).
- Let $ x $ represent the number of cups of coffee Mei Mei buys.

### Step 2: Create a table of values
We know:
- The gift card starts with $15.
- Each cup of coffee costs $3.

Now, we'll track the remaining balance after buying each cup of coffee.

| Number of Cups ( $ x $ ) | Amount Remaining ( $ A $ ) |
|:---------------------------:|:---------------------------:|
| 0                           | $15                         |
| 1                           | $12                         |
| 2                           | $9                          |
| 3                           | $6                          |
| 4                           | $3                          |
| 5                           | $0                          |

### Step 3: Write the equation
After buying $ x $ cups of coffee, the amount remaining on the gift card can be represented by the equation:

\[
A = 15 - 3x
\]

### Explanation:
- $ 15 $: This is the initial amount of money on the card.
- $ 3x $: Each cup of coffee costs $3, so after buying $ x $ cups, the total cost is $ 3x $.
- $ A = 15 - 3x $: This represents the remaining balance after purchasing $ x $ cups of coffee.

### Recap
The table shows the balance decreasing by $3 for each cup of coffee, and the equation $ A = 15 - 3x $ models the amount of money left after buying $ x $ cups.

Would you like more details or have any questions?

### 5 Related Questions:
1. How many cups of coffee can Mei Mei buy before the card runs out of money?
2. What would the equation look like if each cup of coffee cost $2.50?
3. If Mei Mei buys 4 cups of coffee, how much money is left on the card?
4. What happens if Mei Mei buys more than 5 cups? Can this situation be represented with the same equation?
5. How can you represent the total amount spent by Mei Mei in terms of $ x $?

### Tip:
When working with word problems, clearly defining variables and creating a table of values helps in visualizing and formulating the correct equations.

Mei Mei was given a gift card for a coffee shop. Each morning, Mei Mei uses the card to buy one cup of coffee. The original amount of money on the gift card was $15 and each cup of coffee costs $3. 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 gift card after purchasing cups of coffee using the linear equation A = 15 - 3x. Explore the table of values to understand how the balance decreases. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation