Functions defined on intervals
Planning a trip
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On their upcoming trip, members of a hiking club are
going to hike along a path in a park and
stop for a picnic near a waterfall.
The members planning the hike
met to discuss the timetable, to tell
the bus when to take them to the starting point
and when to pick them up at the end point.
Ann and George, who had made a preliminary visit to the park,
prepared a plan for the trip. It is described in the graph.
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distance (kilometers) |
| time (hours) |
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Describe what you can learn from the graph about times,
distances, and walking speeds.
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Some members had reservations
about the proposed plan for the trip and suggested
changes. Their proposals are presented below.
Prepare new plans for the trip taking these
proposals into account. Describe your plans using graphs.
You can use the
Journeys in three parts and the Representing motion at several speeds tools.
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Can you prepare a plan for the trip that takes into
account the proposals of two of the members? Can you
prepare a plan that takes into account all three
proposals?
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Olga:
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"The time allotted for the picnic is too short in my opinion.
I suggest we stop for two hours."
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Benny:
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"I propose that during the first part of the hike,
until we reach the waterfall, we walk at 6 kilometers per
hour, and during the second part, when the heat is at its peak,
we slow down to 3 kilometers per hour."
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Martha:
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"I think it's important that the trip doesn't last more than 6 hours,
as stated in the original plan."
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