The surface area of a cube is a function of the side length of the cube as shown in the table. Is the function linear or nonlinear? Surface Area of a Cube Side length (in.), x Surface Area (in.2), y 1 6 2 24 3 54 4 96 A. nonlinear B. linear

The function is nonlinear

Step-by-step explanation:

Given

x --- y

1 --- 6

2 --- 24

3 --- 54

4 --- 96

Required

Determine if the function is linear of not

A function is linear if the difference in the successive y values are the same for corresponding values of x

When x = 1; y = 6 and when x = 2; y = 24

When x = 2; y = 24 and when x = 3; y = 54

When x = 3; y = 54 and when x = 4; y = 96

Note that the calculated differences are not equal.

Hence, the function is nonlinear

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