A.4.12.3 Bike Sharing

Function C represents the dollar cost of renting a bike from a bike-sharing service for minutes. Here are the rules describing the function:   1. Complete the table with the costs for the given lengths of rental. 2. Sketch a graph of the function for all values of that are at least 0 minutes and at most 240 minutes.

3. Describe in words the pricing rules for renting a bike from this bike sharing service.

4. Determine the domain and range of this function.

In the rules, the number 30 shows up in the first two cases. How can we tell if the cost for 30 minutes of rental is $2.50 or $5.00?

How do we mark the point for t = 30 on the graph?

The rules show the cost for renting up to 720 minutes, but the horizontal scale of the graph only goes to 240. How do we graph the last case?

Is C a function of t? How do you know?

Is t a function of C? How do you know?