A gardener is planting two types of trees:

Type A is three feet tall and grows at a rate of 15 inches per year.

Type B is four feet tall and grows at a rate of 10 inches per year.

Algebraically determine exactly how many years it will take for these trees to be the same height.

Question

Mathematics

Guest

31 March, 02:49

A gardener is planting two types of trees:

Type A is three feet tall and grows at a rate of 15 inches per year.

Type B is four feet tall and grows at a rate of 10 inches per year.

Algebraically determine exactly how many years it will take for these trees to be the same height.

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Answers (1)

Know the Answer?

Shawn Beck · Answer 1

First convert the feet to inches:

3 feet = 36 in.; 4 feet=48 in.

Make an equation for each one:

Type A: h=36+15x

Type B: h=48+10x

Since the questions wants the heights to be equal, h=h so you can substitute so you have:

36+15x=48+10x

5x=12

x=2 2/5 years or 2.4 years

A gardener is planting two types of trees:Type A is three feet tall and grows at a rate of 15 inches per year.Type B is four feet tall and grows at a rate of 10 inches per year.Algebraically determine exactly how many years it will take for these trees to be the same height.

A gardener is planting two types of trees:

Type A is three feet tall and grows at a rate of 15 inches per year.

Type B is four feet tall and grows at a rate of 10 inches per year.

Algebraically determine exactly how many years it will take for these trees to be the same height.