Question

A tree is 2 feet tall and 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

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.

Answer 2

In eight years.

2 feet tall grows 8 feet = 10 ft

6 feet grows 8x0.5 = 6+4 = 10ft

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