To determine the rate of change of the average height of trees with respect to the number of years, we can use the formula for the slope (rate of change) between two points on the line, which is given by:

$\text{Rate of Change} = \frac{\text{Change in Height}}{\text{Change in Years}}$

We will calculate the slope using any two points from the table. Let’s use the points when:

• Year = 1, Height = 10 feet
• Year = 3, Height = 24 feet

$\text{Rate of Change} = \frac{24 - 10}{3 - 1} = \frac{14}{2} = 7 \text{ feet per year}$

Thus, the rate of change is 7 feet per year.

Would you like further clarification on this, or do you want more details? Here are 5 related questions to explore this concept further:

1. How would the rate of change differ if the relationship between years and height wasn’t linear?
2. What other pairs of years and heights could we use to verify the rate of change?
3. Can we predict the height of the trees after 20 years using this rate of change?
4. What is the significance of having a constant rate of change in this problem?
5. How would you graph this linear relationship between time and height?

Tip: The slope (rate of change) of a linear function remains constant no matter which pair of points you choose along the line!