A taxi company charges passengers $2.00 for aride, and an additional $0.50 for each miletraveled. The function rule c = 0.50m + 2.00describes the relationship between the numberof miles m and the total cost of the ride C. If thetaxi company will only go a maximum of 40miles, what is a reasonable graph of thefunction rule?
Accepted Solution
A:
Answer:The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.Step-by-step explanation:Given:The function rule representing the total cost of ride and number of miles traveled is:[tex]C=0.5m+2[/tex]Now, the maximum value of [tex]m[/tex] is 40.So, the maximum cost of ride is given as:[tex]C_{max}=0.5(40)+2=20+2=22[/tex]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.