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A gardener is planting two types of trees:

Type A is 7 feet tall and grows at a rate of 2 inches per year.

Type B is 5 feet tall and grows at a rate of 6 inches per year.

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

Respuesta :

absor201

It will take 6 years for the trees to be same height.

Step-by-step explanation:

Given,

Initial height of Type A = 7 feet = 7*12 = 84 inches

Growth rate = 2 inches per year

Let,

x be the number of years

Total height = T

T = 2x+84      Eqn 1

Initial height of Type B = 5 feet = 5*12 = 60 inches

Growth rate = 6 inches per year

T = 6x+60     Eqn 2

For same height;

Eqn 1 = Eqn 2

[tex]2x+84=6x+60\\84-60=6x-2x\\24=4x\\4x=24[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{24}{4}\\x=6[/tex]

It will take 6 years for the trees to be same height.

Keywords: linear equation, division

Learn more about division at:

  • brainly.com/question/899976
  • brainly.com/question/884169

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