Question

What is the constant rate of change of the ordered pairs?

x 1 3 5 7

y 2 10 18 26

Answer 1

4

Explanation:

The constant rate of change of the ordered pairs can be termed as the slope.

Slope is expressed as m = Δy/Δx

m =
`(y_2-y_1)/(x_2-x_1)`

Using the coordinates when x₁ =1, y₁ = 2 and when x₂ = 3, y₂ = 10 according to the table.

Substituting this coordinates into the slope equation.

`m = (10-2)/(3-1) \\\\m = (8)/(2)\\ \\m = 4`

Hence the constant rate of change of the ordered pairs is 4

Note that no matter the value of the coordinates used, you will still get the same constant since they are directly proportional.