A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The function rule C = 0.30m + 1.00 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?

x will range from 0 to 40 miles, and y will range from $1 to $1 + $0.30(40), or
$13.

Graph the y-intercept (0,$1) and the point (40,$13), and draw a line from (0,$1) to (40,$13) ONLY.

Answer Link

DelcieRiveria DelcieRiveria · Answer 2 · 2018-11-09T09:15:47+01:00

Answer: The graph of the function is shown below,

The given function is,

[tex]C=0.30m+1.00[/tex]

Where C is the cost and m is the distance in miles and it is a linear equation.

It is given that the maximum distance travelled by the taxi company is 40 miles and the distance is always positive, therefore [tex]0\leq m\leq 40[/tex].

The total cost of the company at initial distance means at m=0 is,

[tex]C=0.30(0)+1.00=1.00[/tex]

The total cost of the company at maximum distance means at m=40 point is,

[tex]C=0.30(40)+1.00=12.00+1.00=13.00[/tex]

So, [tex]1\leq C\leq 13[/tex].

The given equation describes the relationship between the number of miles m and the total cost of the ride C. The miles are independent variable and C is the dependent variable.

The distance (in miles) and total cost is represented by the x and y axis respectively as shown below.