Question

A tree that is 5 feet tall is growing at a rate of 1 foot per year. A 6−foot tall tree is growing at a rate of 0.5 foot per year. In how many years will the trees be the same height?

Answer 1

Step-by-step explanation:

After 2 years the tree will be same height as 7 foot

Answer 2

Step-by-step explanation:

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)

So you need to find the value of x that would make

these equal.

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

So in 8 years, the two trees will be the same height.