Question

Lawson planted a tree when it was 14 inches tall and it will grow 3 inches per year. Ezra planted a tree when it was 8 inches tall and it will grow 5 inches per year. Determine how many years it will take for the trees to be the same height. Please get this right

Answer 1

3 years

Explanation:

Lawson's tree starts at 14 inches and grows 3 inches every year, so we can represent that as 3x+14

Ezra's tree starts at 8 inches and grows 5 inches every year, so we can represent that as 5x+8

x=years

So, now that we have an equation for each tree, we will now set them as equal

5x+8=3x+14

Subtract 8 from each side

5x=3x+6

Subtract 3x from each side

2x=6

Divide each side by 2

x=3

It will take 3 years for the trees to reach the same height.