Question

A city cab charges a fare per mile traveled. The graph shows the fare for the number of miles traveled. Which statement describes the point (1,5)​

Answer 1

The unit rate is 5 dollars per each mile

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
`y/x=k` or
`y=kx`

In this problem

`k=y/x`

we have the point (1,5)

`k=5/1=5`

the constant of proportionality k is equal to the slope m of the line

`y=5x`

The units of the slope are $/mile

therefore

The unit rate is 5 dollars per each mile