Question

A tree that is 7 feet tall is growing at a rate of 1 foot each year. A tree that is 16 feet tall is growing at a rate of

foot each year.
Enter the number of years it will take the two trees to reach the same height.

Answer 1

they will never reach the same height

Explanation:

idk, I just guessed

Answer 2

Equating the expressions shows that it will take 18 years for Tree 1 and Tree 2 to reach the same height.

Tree 1 Tree 2

Current height 7 ft 16 ft

Growth rate per year 1 ft 1/2 ft

Let the number of years the trees have grown = x

Expressions:

Tree 1: 7 + x

Tree 2: 16 + 0.5x

For the two trees to reach the same height, we equate the two expressions and solve for x.

7 + x = 16 + 0.5x

0.5x = 9

x = 18

Thus, it will take 18 years for Tree 1 to reach the same height as Tree 2.

Complete Question:

A tree that is 7 feet tall is growing at a rate of 1 foot each year. A tree that is 16 feet tall is growing at a rate of 1/2 foot each year. Enter the number of years it will take the two trees to reach the same height.