Question

Find the rate of change of the following table.

Answer 1

`(1)/(3)`

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 =
`(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 =
`(2-0)/(3+3)` =
`(2)/(6)` =
`(1)/(3)` ← rate of change