Question

Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the line that shows how tall the tree will be each year, then use your equation to find out how tall the tree will be 4 years after she plants it. Let x - the number of years since she planted the tree; let y = the height of the tree in feet. Explain your solution and show me your work in arriving at your responses.

Answer 1

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!