Question

Graph the function by the table. Is the function linear or nonlinear?

A. Nonlinear

B. Linear

Answer 1

Answer:

Option A - Non-linear              

Step-by-step explanation:

Given : Graph the function by the table.

x           y

1          12.3

2         19.6

3         26.6

4         34.2

5         41.5

To find : Is the function linear or nonlinear?

Solution :

The function is linear when there slopes are equal.

So, we find the slope of the points.

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

Taking point, $(x_1,y_1)=(1,12.3)$ and $(x_2,y_2)=(2,19.6)$

$m=\frac{19.6-12.3}{2-1}$

$m=\frac{7.3}{1}$

$m=7.3$

Taking point, $(x_1,y_1)=(2,19.6)$ and $(x_2,y_2)=(3,26.6)$

$m=\frac{26.6-19.6}{3-2}$

$m=\frac{7}{1}$

$m=7$

We have seen that slope between points are not equal.

Therefore, The given points are non-linear.

So, Option A is correct.