Question

Find the rate of change represented in the table.

x	y
1	2
4	6
7	10
10	14

Short answer

The fraction$\frac{4}{3}$ represents the required rate of change.

Step-by-step solution

Step 1. Determine the method that can be used.

The slope formula$m=\frac{y_2-y_1}{x_2-x_1}$ can be used to calculate the required rate of change.

Step 2. Take the help of the obtained method.

Take the help of formula for slope of a line represented by $m=\frac{y_2-y_1}{x_2-x_1}$in which the required values can be filled by using the first and second row of the provided table.

$\begin{array}{c}m=\frac{6-2}{4-1}\\ =\frac{4}{3}\end{array}$

Step 3. Write the conclusion.

The obtained slope is $\frac{4}{3}$. So, it is the required rate of change.