A gardener is planting two types of trees:

Type A is 8 feet tall and grows at a rate of 18 inches per year.

Type B is 9 feet tall and grows at a rate of 17 inches per year.

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

Question

Mathematics

Jovanny Atkinson

27 December, 10:55

A gardener is planting two types of trees:

Type A is 8 feet tall and grows at a rate of 18 inches per year.

Type B is 9 feet tall and grows at a rate of 17 inches per year.

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

+4

Answers (2)

Know the Answer?

Jace Henson · Answer 1

12 yrs

Step-by-step explanation:

Made all units inches

Made an equation based on the information given (x is amount of yrs)

18x + 96 = 17x + 108

18x = 17x + 12

x = 12

Madalyn Mcmahon · Answer 2

The answer to your question is: In 12 years both plants will have the same height.

Step-by-step explanation:

Type A = 8 ft 18 in/y

Type B = 9 ft 17 in/y

Process

1. - Convert the height to inches

Type A = 96 in

Type B = 108 in

2. - Write equations of the height

Type A = 96 + 18x x means the number of years

Type B = 108 + 17x

3. - As the height must be the same, equal both equations and solve for x

96 + 18x = 108 + 17x

18x - 17x = 108 - 96

x = 12

A gardener is planting two types of trees:Type A is 8 feet tall and grows at a rate of 18 inches per year.Type B is 9 feet tall and grows at a rate of 17 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 8 feet tall and grows at a rate of 18 inches per year.

Type B is 9 feet tall and grows at a rate of 17 inches per year.

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