Question

A Gardner is planting two types of trees

Answer 1

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

Step-by-step explanation:

Type A tree;

Initial height = 9 feet

We will convert feet into inches because growth is in inches.

1 feet = 12 inches

9 feet = 12*9 = 108 inches

Growth rate = 6 inches per year

Let,

x be the number of years.

A(x) = 108 + 6x

Type B;

Initial height = 4 feet = 4*12 = 48 inches

Growth rate = 16 inches per year

B(x) = 48 + 16x

The height will be same, when functions are equal

A(x) = B(x)

$108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60$

Dividing both sides by 6

$\frac{10x}{10}=\frac{60}{10}\\x=6$

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

Keywords: function, division

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