Question

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Answer 1

c. 14

Explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

`(6 - 2)/(2 - 1) = (y_2 - 6)/(4 - 2)`

`(4)/(1) = (y_2 - 6)/(2)`

`4 = (y_2 - 6)/(2)`

Multiply both sides by 2

`4 * 2 = (y_2 - 6)/(2) * 2`

`8 = y_2 - 6`

Add 6 to both sides

`8 + 6 = y_2 - 6 + 6`

`14 = y_2`

The missing value is 14