Respuesta :

frika

Answer:

B

Step-by-step explanation:

The average rate of change can be found using formula

[tex]\dfrac{y_2-y_1}{x_2-x_1}.[/tex]

In your case,

[tex](x_1,y_1)=(4,-0.5),\\ \\(x_2,y_2)=(1,4).[/tex]

Hence,

[tex]\dfrac{-0.5-4}{4-1}=\dfrac{-4.5}{3}=-1.5=-1\dfrac{1}{2}.[/tex]

Answer: second option.

Step-by-step explanation:

The average rate of change is the slope, and this can be calculated with this formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Choose two points. Let's choose the points (1,4) and (3,1).

Now, substitute them into the formula  [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then you get:

[tex]m=\frac{1-4}{3-1}\\\\m=-\frac{3}{2}[/tex]

Rewrite this result as a mixed number. Therefore, the answer is:

[tex]m=-1\ \frac{1}{2}[/tex]

This matches with the second option.