It would take exactly 4 years for these trees to be the same height.
Step-by-step explanation:
Given,
Height of Tree A = 9 feet
1 feet = 12 inches
9 feet = 9*12 = 108 inches
Growth rate = 2 inches per year
Let,
y be the number of years.
A(y)= 108 + 2y
Height of Tree B = 8 feet
8 feet = 8*12 = 96 inches
Growth rate = 5 inches per year
B(y)=96+5y
In case of same height;
A(y)=B(y)
[tex]108+2y=96+5y\\108-96=5y-2y\\12=3y\\3y=12[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3}=\frac{12}{3}\\y=4[/tex]
It would take exactly 4 years for these trees to be the same height.
Keywords: functions, division
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