Question

A tree that is 3 feet tall is growing at a rate of 2 feet each year. A tree that is 13 feet tall is growing at a rate of 1 foot each year.

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

Answer 1

8 years

Explanation:

Answer 2

Answer:In 8 years the tree will have the same height.

Explanation:

Step 1:

Let x = the number of years when the two trees will be the same height.

For the 2ft tree, you can express its height in x years as:

2+1(x)

And for the 6ft. tree...

6+0.5(x)

Step 2:

2+x = 6+0.5x Subtract 0.5x from both sides.

2+0.5x = 6 Now subtract 2 from both sides.

0.5x = 4 Finally, divide both sides by 0.5

x = 8