Which table represents a linear function?

The table that represent a linear function is:

           x                       y          

           1                      -2          

           2                     -10          

           3                     -18          

           4                     -26        

Step-by-step explanation:

We are asked to find which of the following table represent an linear function.

As the x-value is increasing by a constant value i.e. '1'.

Hence, for the function to be a linear function the value of y must also increase or decrease by the same constant.

This means the difference in the y-value from the preceding y-value must be same.

1)

           x                       y           Difference in y-value

           1                      -2          

           2                      -5           -5-(-2)=-3

           3                      -9            -9-(-5)=-4

           4                       -14          -14-(-9)=-5

As the difference in y-value is different hence, the table does not represent a linear function.

2)

           x                       y           Difference in y-value

           1                      -2          

           2                      -4           -4-(-2)=-2

           3                      -8            -8-(-4)=-4

           4                       -16         -16-(-8)=-8

As the difference in y-value is different hence, the table does not represent a linear function.

3)

           x                       y           Difference in y-value

           1                      -2          

           2                      -6           -6-(-2)=-4

           3                      -2            -2-(-6)=4

           4                       -6           -6-(-2)=-4

As the difference in y-value is different hence, the table does not represent a linear function.

4)

           x                       y           Difference in y-value

           1                      -2          

           2                      -10           -10-(-2)=-8

           3                      -18            -18-(-10)=-8

           4                       -26         -26-(-18)=-8

As, the difference in y-value is same.

Hence, the table represent a linear function.

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )