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?

Respuesta :

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

m -----> the number of miles

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

we have

[tex]C=0.50m+2.00[/tex]

This is a linear equation in slope intercept form

where

The slope or unit rate is equal to

[tex]\$0.50\ per \ mile[/tex]

The y-intercept or initial value is equal to

[tex]\$2.00[/tex]

For m=40 miles

substitute in the linear equation and solve for C

[tex]C=0.50(40)+2.00[/tex]

[tex]C=\$22.00[/tex]

therefore

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

[tex]0\ miles \leq m\leq 40\ miles[/tex]

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

[tex]\$2.00 \leq C\leq \$22.00[/tex]

using a graphing tool

The graph in the attached figure

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