Question

Which of the following functions are linear?

Answer 1

Function A

Explanation:

For a function to be linear it needs to have a constant rate of change.

Function A does. The change in y over the change is x is 1.25

`(5.5 - 3)/(3-1)` = 1.25

`(10.5 -5.5)/(7-3)` = 1.25

`(13-10.5)/(2)` = 1.25

`(18-13)/(13-9)` = 1.25

The rate of change for function B is not constant

`(20-8)/(13-3)` = 1.5

`(40-20)/(23-13)` = .5

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