Question

Each table represents a linear relationship. Which table(s) represent a slope of 3?

A. Table 2

B. Table 1 and Table 2

C. Table 1 and Table 3
D. All of the above

Answer 1

Answer:

B

Step-by-step explanation:

The slope is

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

Find the slope for all linear functions given by tables 1, 2, 3.

Table 1:

$\text{Slope}_1=\dfrac{41-32}{3-0}=\dfrac{9}{3}=3$

Table 2:

$\text{Slope}_2=\dfrac{8-5}{2-1}=\dfrac{3}{1}=3$

Table 3:

$\text{Slope}_3=\dfrac{18-24}{2-0}=\dfrac{-6}{2}=-3$

Table 1 and 2 show the slope of 3.