Question

Find the rate of change of the following table.

Answer 1

Answer:

$\frac{1}{3}$

Step-by-step explanation:

The rate of change is measured by the slope of the line in this linear table.

Calculate the slope m using the slope formula

m = $\frac{y_{3}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table

m = $\frac{2-0}{3+3}$ = $\frac{2}{6}$ = $\frac{1}{3}$ ← rate of change