Question

Which table represents a linear function?

Answer 1

First table.

EXPLANATION

The table that represents a linear function has a constant difference in both the x-values and the y-values.

As for the x-values, there is a constant difference of 1 for all the tables.

From, the first table, we can see that, the difference in y-values is:

`1 - (1)/(2) = 1 (1)/(2) - 1 = 2 - 1 (1)/(2) = (1)/(2)`

For the second table,

`(1)/(2) - 1 \\e (1)/(3) - (1)/(2)`

The third table too,

`13 - 9 \\e \: 9 - 7`

The fourth table too,

`16 - 6 \\e6 - 0`

Hence the choice is the first table.

Answer 2

Graph One.

Explanation:

See below. The graph is in a straight line, also known as linear. The other graphs are not. Also, if you look at the range (y) of the tables, you can see the increase is linear as it is increasing by .5 (1/2) everytime.