Question

When Grayson moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 29 inches tall and Tree B was 14 inches tall. Each year thereafter, Tree A grew by 2 inches per year and Tree B grew by 5 inches per year.Let A represent the height of Tree At years after being planted and let B represent the height of Tree B t years after beingplanted. Determine the height of each tree after 6 years, and select which tree will be taller.A=B=Tree=

Answer 1

A = 41 in

B = 44 in

Tree = B

Step-by-step explanation:

We can represent the height of Tree A after t years as:

A = 29 + 2t

Because 29 inches is the initial height and 2 is the change in the height every year.

In the same way, we can represent the height of Tree B after t years as:

B = 14 + 5t

Because 14 inches is the initial height and 5 is the change in the height every year.

So, after 6 years, the height of each tree is:

A = 29 + 2(6) = 29 + 12 = 41 in

B = 14 + 5(6) = 14 + 30 = 44 in

Therefore, the taller tree is Tree B.