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)
[tex]108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60[/tex]
Dividing both sides by 6
[tex]\frac{10x}{10}=\frac{60}{10}\\x=6[/tex]
It will take 6 years for the trees to have same height.
Keywords: function, division
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