Question

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?

Answer 1

In this case, the x-axis represents the number of miles traveled and the y-axis represents the cost of the ride. The graph of the function C = 0.30m + 1.00 is a line that intercepts the y-axis at 1.00 and has a slope of 0.30. When the taxi travels 10 miles, the cost would be C = 0.30(10) + 1.00 = 4.00. So the graph passes thought (10, 4).

Since the maximum number of miles is 40, the graph stops at the point where m = 40. This is how it looks like.

Answer 2

See figure attached.

Explanation:

The function rule C = 0.30m + 1.00 is a line with slope equal to 0.30 and a y-intercept equal to 1.00. Using the x-axis to describe the number of miles of the ride and y-axis to describe the cost of the ride, the plot attached can be made. The range of x-values is [0, 40], these are the minimum and maximum miles the taxi company will only go.