HELP!!!!

When Jackson moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 24 inches tall and Tree B was 36 inches tall. Each year thereafter, Tree A grew by 10 inches per year and Tree B grew by 7 inches per year. Let A represent the height of Tree A t years after being planted and let B represent the height of Tree B t years after being planted. Write an equation for each situation, in terms of t, and determine the height of both trees at the time when they have an equal height.

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madethisfortwitch1 madethisfortwitch1 · Answer 1 · 2021-01-23T10:38:57+01:00

Answer:

For tree A: 24+10t

For tree B: 36+7t

They are at the same height at 4 years at a height of 64 inches

Step-by-step explanation:

To figure out when the trees are at the same height make the equations equal to each other and solve for T

24+10t=36+7t

Subtract 24 and 7t from both sides to get

3t=12

divide by 3 to get

t=4

This means at t=4 they are at equal height so we plug this into any of the equations

24+10*4

this is equal to 64

We can double check by plugging t=4 into the second equation

36+7*4

36+28=64