Agardener 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.

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

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