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We are given that the remaining credit on the phone card is a linear function of the total calling time, with a slope of -0.13. The credit after 31 minutes of calls is $24.03.

We need to find the remaining credit after 39 minutes of calls.

### Step-by-step approach:

1. **Slope interpretation**:
   The slope of the line is -0.13, which means the credit decreases by $0.13 for each additional minute of calling.

2. **Time difference**:
   The difference in time between 39 minutes and 31 minutes is:
   \[
   39 - 31 = 8 \, \text{minutes}
   \]

3. **Decrease in credit**:
   Over these 8 minutes, the total decrease in credit is:
   \[
   8 \times (-0.13) = -1.04 \, \text{dollars}
   \]

4. **Final credit**:
   Subtracting the decrease from the original credit at 31 minutes:
   \[
   24.03 - 1.04 = 22.99 \, \text{dollars}
   \]

Thus, the remaining credit after 39 minutes of calls will be **$22.99**.

Would you like any further explanation or details?

Here are 5 related questions to explore:
1. How is the slope of a line interpreted in real-life situations like this one?
2. How can we find the y-intercept in a linear function given some data points?
3. What is the general form of the equation of a line?
4. How would the solution change if the slope were positive instead of negative?
5. Can we graph this function based on the provided information?

**Tip**: In linear functions, the slope tells you how much the dependent variable (credit) changes with respect to the independent variable (time).

There is $24.03 in credit remaining on the card after 31 minutes of calls. How much credit will there be after 39 minutes of calls?

Learn how to calculate the remaining credit on a phone card after 39 minutes of calls, starting from 31 minutes with $24.03 remaining. The problem uses linear functions and the slope formula, with a decrease of $0.13 per minute. Suitable for students in Grades 7-10.

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