Question

The height of a birch tree, f(x), in inches, after x months is shown in the graph below.

Answer 1

Look at the slope of the line(aka rise over run)
For every 1 month, the sapling grows 2 inches

answer: D

Answer 2

Answer:

The correct option is B.

Step-by-step explanation:

The slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

if a line passing thorough two point then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

The line passing through the point (0,6) and (1,8), so the slope of the lien is

$m=\frac{8-6}{1-0}=2$

The slope of line is 2, it means the birch tree grows 2 inches per month.

From the given graph it is clear that the y-intercept of the line is 6 and the slope is 2. So, the equation of line is

$y=2x+6$

Put x=10.

$y=2(10)+6=26$

The height of the birch tree will be 26 inches after 10 months.

Therefore, the correct option is B.