Question

HELP ILY A tree is 4 1/2 feet tall. It is expected to grow by 1 3/4

feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years

Answer 1

It will take 21 years.

Explanation:

First, find what x would be for it to equal 40 feet. This can be done with the equation 4.5 + 1.75x = 40.

4.5 + 1.75x = 40

Subtract 4.5 from both sides. This cancels out the +4.5.

1.75x = 40 - 4.5

Subtract 4.5 from 40 to get 35.5.

1.75x = 35.5

Divide both sides by 1.75. This cancels out the *1.75.

x = 35.5/1.75

Expand 35.5/1.75 by multiply both the numerator and denominator by 100.

x = 3550/175

Reduce 3550/175 by canceling out 25.

x = 142/7 = 20 2/7

Go up by one from 20 to get the answer of 21 years.