Question

Determine if each linear function is a direct variation. If it is, state the rate of change

Answer 1

Rate of change is:

`m=(y_2-y_1)/(x_2-x_1)`

Choose any two point and hours represent x and miles represent y so :

`\begin{gathered} (x_1,y_1)=(1,15)_{} \\ (x_2,y_2)=(2,30) \end{gathered}`

So rate of change is:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(30-15)/(2-1) \\ m=(15)/(1) \\ m=15 \end{gathered}`

The rate of change is 15.