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Let's break down the problem:

- Initially, the tree is **38 inches** tall.
- After 4 years, the tree is **9 feet 10 inches** tall.

First, let's convert the height of the tree after 4 years into inches:
- 9 feet = 9 × 12 = 108 inches.
- Adding 10 inches gives 108 + 10 = **118 inches**.

Now we can calculate how much the tree grew:
- Initial height = 38 inches.
- Final height after 4 years = 118 inches.

The total growth over 4 years = \( 118 - 38 = 80 \) inches.

Now, to find how many inches the tree grew each year, we divide the total growth by 4:
\[
\text{Growth per year} = \frac{80}{4} = 20 \text{ inches per year}.
\]

### Equation:
Let \( x \) be the number of inches the tree grows per year. The equation for the height after 4 years would be:
\[
38 + 4x = 118
\]
Solving for \( x \):
\[
4x = 118 - 38 = 80
\]
\[
x = \frac{80}{4} = 20 \text{ inches per year}.
\]

Would you like further details or any clarifications?

Here are some related questions:
1. How would the equation change if the growth rate varied each year?
2. What if the tree's initial height was in feet and inches instead of just inches?
3. How could you represent the tree's height growth as a linear function over time?
4. What if the growth was measured over 6 years instead of 4? How would the equation change?
5. How can we model this growth as a percentage increase instead of a fixed amount?

**Tip:** When solving growth problems, always ensure units are consistent (e.g., converting between feet and inches).

The height of a tree is 38 inches tall. Four years later, the height of the tree is 9 feet 10 inches. How many inches did the tree grow each year?

Learn how to calculate the annual growth of a tree that grew from 38 inches to 9 feet 10 inches over 4 years. This problem involves unit conversion from feet to inches and calculating the average growth per year, suitable for Grades 5-7.

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