Question

On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14). Which is the rate of change for the interval between 2 and 6 on the x-axis? –3 one-third one-third 3.

Answer 1

The rate of change for the interval between 2 and 6 on the x-axis is 3.

Given

On a coordinate plane, a parabola opens up.

Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14).

What is the rate of change?

A rate of change defines how one quantity changes in relation to another quantity.

The rate of change for the interval between 2 and 6 on the x-axis is;

$\rm Rate \ of \ change =\dfrac{2-14}{2-6}\\\\Rate \ of \ change =\dfrac{-12}{-4}\\\\Rate \ of \ change =3$

Hence, the rate of change for the interval between 2 and 6 on the x-axis is 3.

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