Question

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?

Answer 1

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. 

Answer 2

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 $52 in$