Functions defined on intervals
Trips and reflections (II)

Here is another story about a bike ride:

Ned's ride lasted six and a half hours. At first he rode at a speed of 16 kilometers per hour, then slowed down to 12 kilometers per hour. The distance he rode during the first part of the ride is longer by 6 kilometers then the distance he rode in the second part.

Questions: After how long did Ned reduce his speed? What distance did he ride in the first part of his trip?

The dynamic figure shows a sketch of the graph describing Ned's trip.

position
time
f
g


Use reflections to create new stories with questions that have the same solution as that in the initial story. Write down your stories, questions, and the corresponding sketches.
  • Use the Representing motion at several speeds tool to verify that you have enough information to represent each story and answer the questions you created.
  • Try to answer the questions in the initial story using the answers to the questions in the stories you created.

  • to part I






    Piecewise linear functions

    Journeys at two speeds
    Planning a trip
    Stories about journeys
    Trips and reflections
    Overtime
    Coupons
    Mobile phone rates
    Income Tax (I)
    Income Tax (II)