Question
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
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.
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