Question

I need to know what are the unit rates for function one and function two

Answer 1

For function one, when we have the linear equation:

`y=mx+b`

The unit rate will be the "m" value, here we have

`y=(1)/(4)x+2`

Then

`m=(1)/(4)`

That's the unit rate for function one

To find out the unit rate for function two, we must take two points of the graphic, in a generical way they're are

`\begin{gathered} A=(x_a,y_a) \\ B=(x_b,y_b)_{} \end{gathered}`

The unit rate will be

`m=\frac{y_b-y_a}{x_b-x_a_{}}`

I'll use the points

`\begin{gathered} A=(3,3) \\ B=(0,1) \end{gathered}`

Then the unit rate will be

`m=(1-3)/(0-(-3))=(2)/(3)`

Hence the unit rate for function two is m = 2/3