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 graph of the function rule?

Answer 1

The graph in the attached figure

Explanation:

Let

m -----> the number of miles

C ----> the total cost of the ride

we have

`C=0.50m+2.00`

This is a linear equation in slope intercept form

where

The slope or unit rate is equal to

`\$0.50\ per \ mile`

The y-intercept or initial value is equal to

`\$2.00`

For m=40 miles

substitute in the linear equation and solve for C

`C=0.50(40)+2.00`

`C=\$22.00`

therefore

The domain of the function is the interval -----> [0,40]

`0\ miles \leq m\leq 40\ miles`

The range of the function is the interval -----> [2.00,22.00]

`\$2.00 \leq C\leq \$22.00`

using a graphing tool

The graph in the attached figure