Rashon was given a gift card for a coffee shop. Each morning, Rashon 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 $1.50. 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.

Question

Number of Cups of Coffee Amount of Money Remaining on Card
00
11
22
33
Answer
Attempt 1 out of 2

You must answer all questions above in order to submit.

Answer 1

To create the table of values showing the amount of money remaining on the card after buying a certain number of cups of coffee, we can calculate the remaining amount for each quantity of coffee purchased. The original amount on the gift card is $15, and each cup of coffee costs $1.50.

Here’s the calculation for each number of cups of coffee:

1. For 0 cups:

   • Remaining amount = $15 - ($1.50 * 0) = $15.00

2. For 1 cup:

   • Remaining amount = $15 - ($1.50 * 1) = $15 - $1.50 = $13.50

3. For 2 cups:

   • Remaining amount = $15 - ($1.50 * 2) = $15 - $3.00 = $12.00

4. For 3 cups:

   • Remaining amount = $15 - ($1.50 * 3) = $15 - $4.50 = $10.50

Now we can summarize these values in a table:

| Number of Cups of Coffee (x) | Amount of Money Remaining on Card (A) | |-------------------------------|---------------------------------------| | 0 | $15.00 | | 1 | $13.50 | | 2 | $12.00 | | 3 | $10.50 |

To write an equation for A in terms of x, we can derive it from the relationship established in the calculations.

The amount of money remaining A can be calculated as: \[ A = 15 - 1.50x \]

Where:

• \( A \) is the amount of money remaining on the card,
• \( x \) is the number of cups of coffee purchased.

Thus, the equation representing the amount of money remaining on the card after buying \( x \) cups of coffee is: \[ A = 15 - 1.50x \]