Question

A bike rental company charges based on the distance you travel. Their rates are represented in the graph where y is cost and x is miles. Which statement is true about the unit rate of the graph? Select one: The rental costs $1 per mile The rental costs $0.25 per mile The rental costs $2 per mile The rental costs $0.50 per mile

Answer 1

Given the information on the graph, we can see two points: (1,2) and (2,4), therefore, a quick analysis can give us the relation function as follows:

`\begin{gathered} \text{slope:} \\ m=(y_2-y_1)/(x_2-x_1) \\ (x_1,y_1)=(1,2) \\ (x_2,y_2)=(2,4) \\ \Rightarrow m=(4-2)/(2-1)=(2)/(1)=2 \\ m=2 \\ y-y_1=m(x-x_1)_{} \\ \Rightarrow y-2=2(x-1)=2x-2 \\ \Rightarrow y=2x \end{gathered}`

as we can see, from the expression y=2x, the rental costs $2 per mile.