Question

Merv’s Uber 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 Merv’s company will only go a maximum of 40 miles, what is a reasonable graph of the function rule?

Answer 1

To graph the function rule, we need to determine the maximum number of miles, $40, and the corresponding total cost.

Substituting $40 for m in the function rule, we get C = 0.30(40) + 1.00 = 12 + 1 = $13.

So the maximum number of miles is 40 and the corresponding total cost is $13.

Using this information, we can plot the graph. The x-axis represents the number of miles and the y-axis represents the total cost. The graph starts at the point (0, 1) since even if you don't travel any miles, you still need to pay the $1.00 base fee. The graph then increases by a slope of 0.30 ($0.30 per mile) until it reaches the point (40, 13).

Here is a reasonable graph of the function rule:

.graph
.graph