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To solve this problem, we need to find the rate of change of temperature with respect to altitude from the graph. This is the slope of the line shown on the graph.

### Steps to solve:

1. **Identify two points on the line**:  
   From the graph, let's pick two clear points:
   - Point 1: (0 km, 20°C)  
   - Point 2: (9 km, -40°C)

2. **Calculate the slope**:  
   The slope \( m \) (rate of change) is given by the formula:

   \[
   m = \frac{{\text{{change in temperature}}}}{{\text{{change in altitude}}}} = \frac{{y_2 - y_1}}{{x_2 - x_1}}
   \]

   Using the points we identified:
   - \( y_2 = -40 \), \( y_1 = 20 \)  
   - \( x_2 = 9 \), \( x_1 = 0 \)

   Substituting the values:

   \[
   m = \frac{{-40 - 20}}{{9 - 0}} = \frac{{-60}}{{9}} \approx -6.67 \, \text{°C/km}
   \]

The closest answer is **A: -6.5°C/km**.

Would you like more details or have any questions?

### Related Questions:
1. How does the slope of a line relate to real-world rates of change?
2. Why does the temperature decrease as altitude increases in this scenario?
3. Can this type of linear relationship apply to other atmospheric properties?
4. What is the significance of choosing different points on a line when calculating slope?
5. How would the graph look if the rate of change was positive instead of negative?

### Tip:
When calculating the slope, always ensure the points are clearly identified to avoid errors, especially in real-world data interpretation.

Which of these best represents the rate of change of the temperature with respect to the altitude?

Learn how to find the rate of change of temperature with respect to altitude by using the slope formula. In this problem, the temperature decreases as the altitude increases, modeled by a linear relationship. Suitable for Grades 8-10.

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