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:The graph in the attached figureStep-by-step explanation:Letm -----> the number of miles C ----> the total cost of the ridewe have[tex]C=0.50m+2.00[/tex]This is a linear equation in slope intercept formwhere 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 milessubstitute in the linear equation and solve for C[tex]C=0.50(40)+2.00[/tex][tex]C=\$22.00[/tex]thereforeThe 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 toolThe graph in the attached figure