The tree starts at a height of 10 feet when it is first planted, and it grows 3 feet taller each year. To represent the relationship between the tree's height $h$ and the time in years $t$, we can write the equation in the form:

$h = 10 + 3t$

Where:

• $h$ is the height of the tree in feet,
• $t$ is the number of years since the tree was planted,
• 10 is the initial height of the tree,
• 3 is the number of feet the tree grows each year.

Let me know if you'd like any more explanation or if you have additional questions!

Related questions:

1. How would the equation change if the tree grew at a different rate, say 4 feet per year?
2. If the tree has grown for 5 years, what is its height?
3. How long would it take for the tree to reach 25 feet tall?
4. How would you graph this equation on a coordinate plane?
5. How would you write an equation for a tree that starts at a height of 8 feet but grows at 2 feet per year?

Tip:

In equations like this, the constant (10) represents the starting value, and the coefficient (3) represents the rate of change over time.