Question

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



What is the difference of outputs for any two inputs that are one value apart?

x f(x)
---------------------
-3 -57.6
----------------------
-2 -36.4
----------------------
-1 -15.2
----------------------
0 6
----------------------
1 27.2
----------------------
2 48.4


A) -5
B) 1
C) 21.2
D) 27.2

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.

Answer 2

Answer:

C) 21.2

Hope it helps!