Question

What is the average rate of change for the sequence shown below?

Answer 1

Answer:

B

Step-by-step explanation:

The average rate of change can be found using formula

$\dfrac{y_2-y_1}{x_2-x_1}.$

In your case,

$(x_1,y_1)=(4,-0.5),\\ \\(x_2,y_2)=(1,4).$

Hence,

$\dfrac{-0.5-4}{4-1}=\dfrac{-4.5}{3}=-1.5=-1\dfrac{1}{2}.$

Answer 2

Answer: second option.

Step-by-step explanation:

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

$m=\frac{y_2-y_1}{x_2-x_1}$

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

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

$m=\frac{1-4}{3-1}\\\\m=-\frac{3}{2}$

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

$m=-1\ \frac{1}{2}$

This matches with the second option.