Question

A taxi company charges passengers $2.00 for a

ride, and an additional $0.50 for each mile
traveled. The function rule c = 0.50m + 2.00
describes the relationship between the number
of miles m and the total cost of the ride C. If the
taxi company will only go a maximum of 40
miles, what is a reasonable graph of the
function rule?

Answer 1

The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.

Explanation:

Given:

The function rule representing the total cost of ride and number of miles traveled is:

`C=0.5m+2`

Now, the maximum value of
`m` is 40.

So, the maximum cost of ride is given as:

`C_(max)=0.5(40)+2=20+2=22`

So, the graph of the given function rule has a domain between 0 and 40 and range is between 2 and 22.

The graph is shown below.