Gemma is competing in a triathlon and is training to prepare. The triathlon consists of three legs; swimming, biking, and running. Her best times are shown in the table:

Gemma's Best Times
Activity	Time (hr)	Distance (mi)	Rate (mi/hr)
Swimming	2	3
Biking	5	80
Running	2.5	17

Complete the table by calculating Gemma's rate for each of the three legs of the triathlon. Then, identify the independent and dependent variables. Graph the piecewise function, and then construct a piecewise function that models each leg of the triathlon, including the domain restrictions.

For full credit you must:

• Show the rates for each of the three legs of the triathlon, showing or explaining your work.
• Identify the independent and dependent variables.
• Generate a graph for the piecewise function, either by hand or by using a graphing utility. Label each axis with an appropriate title and units.
• Construct a piecewise function that models Gemma's training results with a linear function for each leg. Indicate the domain restrictions for each linear function.