15. A taxi company charges passengers $1.25 for a ride, and an additional $0.25 for each mile traveled.
The function rule C = 0.25m + 1.25 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 30 miles, graph the function.
The graph of the function C = 0.25m + 1.25 is a straight line with a slope of 0.25 and a y-intercept of 1.25. Since the taxi company will only go a maximum of 30 miles, we will plot the points for m = 0, 10, 20, and 30 to create the graph.
When m = 0:
C = 0.25(0) + 1.25
C = 1.25
Point (0, 1.25)
When m = 10:
C = 0.25(10) + 1.25
C = 2.5 + 1.25
C = 3.75
Point (10, 3.75)
When m = 20:
C = 0.25(20) + 1.25
C = 5 + 1.25
C = 6.25
Point (20, 6.25)
When m = 30:
C = 0.25(30) + 1.25
C = 7.5 + 1.25
C = 8.75
Point (30, 8.75)
Plotting these points on a graph and connecting them with a straight line gives the graph of the function C = 0.25m + 1.25 for a maximum of 30 miles traveled.