Answer: Option A
Step-by-step explanation:
The average rage of change of the function is the slope.
The slope can be calculated with the formula shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The problem asks for the average rate of change for the given function , for the interval shown below:
From x=1 to x=3,
Therefore, based on the table, when:
[tex]x=1, y=2[/tex]
[tex]x=3, y=18[/tex]
Then:
[tex]y_2=18, y_1=2[/tex]
[tex]x_1=3, x_2=1[/tex]
When you substitute values, you obtain:
[tex]m=\frac{18-2}{3-1}=8[/tex]
