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The image shows a problem where the temperature dropped 28 degrees in 6 hours, and the equation \(-\frac{28}{6} = x\) is provided to find \(x\), the average rate of temperature change per hour.

To calculate \(x\):

\[
x = \frac{-28}{6} = -4.6667
\]

This simplifies to approximately \(-4.67\) degrees per hour. Thus, the average rate of temperature change is about \(-4.67\) degrees per hour.

Therefore, the closest answer should be "approximately \(-4.6\) degrees per hour," which is the first option listed.

Do you have any questions or would you like further details?

Here are 5 related questions to expand on this concept:
1. How would the rate change if the temperature dropped by 35 degrees over 7 hours?
2. How is the average rate of change different from the instantaneous rate of change?
3. Can the average rate of change be positive in some cases? Give an example.
4. How would you interpret a positive average rate of change in the context of temperature?
5. What is the significance of the negative sign in this context?

**Tip:** Always check the signs when working with rates of change; positive indicates increase, and negative indicates decrease.

The temperature dropped 28 degrees in 6 hours last night. The equation below can be used to find x, the average number of degrees the temperature dropped each hour during that time period. What was the average rate of change per hour in temperature last night?

Learn how to calculate the average rate of temperature drop when it decreases by 28 degrees over 6 hours. This problem covers the concept of rate of change and simple arithmetic. Suitable for students in Grades 6-8.

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