Question 365352: a tree that is 2 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 heigth
Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! 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.
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