https://file.aiquickdraw.com/mathbot/file/17271080305830t179lqb.jpg

The image depicts two scenarios: one involving the descent of a hot-air balloon and another mentioning the cost of buying t-shirts.

For the **hot-air balloon descent**, the graph displays **height in feet** versus **time in minutes** with a clear downward slope, indicating a decrease in altitude over time. This slope shows how fast the balloon is descending.

The graph spans from about 900 feet to nearly 0 feet in 9 minutes, and the line appears straight, suggesting a **constant rate of descent**. To calculate the rate, you would find the slope, which represents how many feet the balloon descends per minute. The formula for the slope is:

\[
\text{slope} = \frac{\text{change in height}}{\text{change in time}} = \frac{900 \text{ feet} - 0 \text{ feet}}{0 \text{ minutes} - 9 \text{ minutes}} = \frac{900}{9} = 100 \text{ feet per minute}
\]

So, the balloon is descending at a rate of **100 feet per minute**.

As for the part about **buying t-shirts**, the image does not contain a visible graph or further details to analyze this aspect. If there's more information you'd like to provide, I can assist further.

Would you like more details on the balloon's descent, or do you have questions about this graph?

Here are 5 related questions for deeper understanding:
1. What is the significance of the slope in other real-world graphs?
2. How would the graph look if the balloon descended more slowly?
3. How can we interpret a positive slope in a graph like this?
4. What mathematical techniques can be used to calculate slopes in more complex graphs?
5. How would you estimate the time for the balloon to reach a specific altitude?

**Tip:** Understanding the slope in graphs helps interpret real-life rates, like speed, cost changes, or descent rates.

The graph shows the descent of a hot-air balloon.

Learn how to interpret the graph showing the descent of a hot-air balloon. This problem involves calculating the slope to determine the rate of descent, a key concept in understanding linear relationships. Suitable for students in Grades 6-8.

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