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.

Question

Mathematics

Cabrera

27 November, 08:02

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.

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Answers (2)

Know the Answer?

Red Velvet · Answer 1

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

Step-by-step 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

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.

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.