The table shows the heights in inches of trees after they have been planted. What is the height of a tree that is 64 in. tall in its pot?
y - the height of trees after they have been planted;
x - the height of the trees in the pot;
y = x - 12
It a tree is 64 inches tall in the pot:
y = 64 - 12 = 52
The height of a tree is 52 inches.
the complete question in the attached figure
Let
y ----------> the height of trees after they have been planted in inches
x ----------> the height of the trees in the pot in inches
A--------> the point (30,18)
B--------> the point (36,24)
Step 1
Find the slope m AB
\(m=\frac{(y2-y1)}{(x2-x1)}\)
\(m=\frac{(24-18)}{(36-30)}\)
\(m=1\)
Step 2
with m=1 and the point A find the equation of the line
\(y-y1=m*(x-x1)\\ y-18=(1)*(x-30)\\ y=x-30+18\\ y=x-12\)
Step 3
For \(x=64 in\)
Find the value of y
\(y=64-12\\ y=52 in\)
therefore
the answer is
the height of a tree is \(52 in\)