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The community park has a small lake where visitors can rent paddle boats at $1 for...

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Advance Math

The community park has a small lake where visitors can rentpaddle boats at $1 for 15 minutes, up to 2 hours. After 2 hours,the rate increases to $3 for 30 minutes.

Problem Write the piecewise function to model this situation andgraph the function.

  1. What is the rental charge at 15 minutes? At 16minutes? At 45 minutes?

2. If you had only $15, how long could you rent a boat?

3. How are the two lines in the graph the same, and how are theydifferent?

4. How would the graph change if the rate change occurred at ? =1 hour?

5. How would the graph change if the fee were $2 for 15minutes?

6. What is the rental fee at 3 hours?

Answer & Explanation Solved by verified expert
4.0 Ratings (492 Votes)
The piecewise function to model the situation willbeAfter 2 hours the rate increases to 3 for 30minutesHence the piecewise function will be givenby1 Rental charge    See Answer
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