Question

This table shows input and output values for a linear function f(x).

Answer 1

Answer:

C

Step-by-step explanation:

This question asks us to find the difference in output or y values or consecutive x-values (values 1 unit away from each other). This is just a rate of change or slope. We will use the slope formula:

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

We substitute $x_1=-3\\y_1=-57.6$ and $x_2=-2\\y_2=-36.4$

$m=\frac{-36.4-(-57.6)}{-2-(-3)}$

$m=\frac{-36.4+57.6}{-2+3}=\frac{21.2}{1} =21.2$

Answer C.