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To find the rate of change of the temperature over time from the graph in question 6, we need to calculate the slope of the line, which represents the rate of change.

1. **Identify two points on the line:** 
   From the graph, we can use the points \( (0, 15) \) and \( (4, -5) \).

2. **Calculate the slope (rate of change):** 
   The formula for the slope is:
   \[
   \text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
   \]
   Substituting the points \( (x_1, y_1) = (0, 15) \) and \( (x_2, y_2) = (4, -5) \):
   \[
   \text{slope} = \frac{-5 - 15}{4 - 0} = \frac{-20}{4} = -5
   \]

3. **Interpretation:** 
   The rate of change of temperature is \( -5 \) degrees Fahrenheit per hour. This means the temperature decreases by 5°F every hour.

Would you like further details or have any questions?

Here are five related questions you can explore:
1. How do you interpret a positive slope in a temperature vs. time graph?
2. What does a slope of zero indicate about the temperature change over time?
3. Can the rate of change be represented as a function? If so, how?
4. How would you calculate the rate of change if the graph were non-linear?
5. What real-world factors could cause changes in the rate of temperature decrease?

**Tip:** Always ensure you correctly identify two distinct points on the line when calculating the slope to avoid mistakes.

A cold front hit Milwaukee, Wisconsin, and the graph shows the outside temperature with respect to the time passed in hours. Find the rate of change of the temperature over time.

Learn how to calculate the rate of change of temperature over time by using the slope formula. The graph depicts the temperature in Milwaukee over a period of hours, and we will solve for the rate of change step by step. Suitable for Grades 6-8.

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