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To find the percent increase in the height of the tree, you can follow these steps:

### Step 1: Determine the increase in height
The initial height of the tree was 59 inches, and after two years, it grew to 85 inches.

\[
\text{Increase in height} = 85 \, \text{inches} - 59 \, \text{inches} = 26 \, \text{inches}
\]

### Step 2: Calculate the percent increase
The percent increase is calculated using the formula:

\[
\text{Percent Increase} = \left( \frac{\text{Increase in height}}{\text{Original height}} \right) \times 100
\]

Substitute the values:

\[
\text{Percent Increase} = \left( \frac{26}{59} \right) \times 100
\]

\[
\text{Percent Increase} \approx 44.07\%
\]

So, the percent increase, to the nearest hundredth, is **44.07%**.

Would you like more details or further clarification?

Here are five related questions to expand your understanding:
1. How would you calculate the percent decrease if the tree's height had decreased?
2. What is the general formula for percent change in any context?
3. How can you calculate the final value if you know the percent increase and the initial value?
4. What if the height after two years was 95 inches? How would that affect the percent increase?
5. How would you express the percent increase as a decimal or fraction?

**Tip:** Always ensure to round percent increases or decreases based on the required decimal places. Here, the question asks for two decimal places, so be precise in your rounding.

A tree was 59 inches tall. Two years later it was 85 inches tall. What was the percent increase, to the nearest hundredth, of the height of the tree?

Learn how to calculate the percent increase in the height of a tree that grew from 59 inches to 85 inches over two years. This problem involves calculating percent increase using proportions and is suitable for students in Grades 6-8.

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