Answer:
The unit rate is 5 dollars per each mile
Step-by-step explanation:
Let
y -----> total fare in dollars
x ----> number of miles
we know that
The graph shows a proportional relationship between x and y (because the line passes through the origin )
It can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In this problem
[tex]k=y/x[/tex]
we have the point (1,5)
[tex]k=5/1=5[/tex]
the constant of proportionality k is equal to the slope m of the line
[tex]y=5x[/tex]
The units of the slope are $/mile
therefore
The unit rate is 5 dollars per each mile
