https://file.aiquickdraw.com/mathbot/file/1726247757192hhsz8ms8.jpg

The problem asks for the **average change in elevation** of the object in **meters per second**. 

We are given:
- The change in elevation is \(-4.9 \, \text{m}\) (a negative value since it is falling).
- The time taken is \(0.71 \, \text{s}\).

To calculate the average rate of change (meters per second), we use the formula:

\[
\text{Average rate of change} = \frac{\text{Change in elevation}}{\text{Time}}
\]

Substituting the given values:

\[
\frac{-4.9 \, \text{m}}{0.71 \, \text{s}} = \frac{-4.9}{0.71}
\]

This matches the first option provided in the image: 

\[
\boxed{\frac{-4.9}{0.71}}
\]

Thus, the correct answer is the first choice: \(\frac{-4.9}{0.71}\).

Would you like more details or have any further questions?

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Here are 5 related questions to expand this concept:
1. How would the answer change if the object had fallen 6 meters in 1.2 seconds?
2. What is the significance of the negative sign in this context?
3. How could we calculate the distance an object would fall in 2 seconds at the same rate?
4. If the object fell twice as fast, what would the new rate of change be?
5. How can we represent this rate of change graphically?

**Tip:** When calculating rates, always pay attention to the units. Dividing distance by time gives you speed, which is crucial in many real-world applications like physics and engineering.

A science class is timing how long it takes an object to hit the ground. When the object fell, its elevation changed a total of −4.9 m in 0.71 s. Which rational number represents the average change in elevation of the object, in meters per second?

Learn how to calculate the average change in elevation in meters per second for an object falling −4.9 m in 0.71 seconds. This problem focuses on unit rate and rational number concepts, ideal for middle school students.

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