Transformations of graphs
Bike ride
Members of a bike club left town on a trip at 8 am.
The graph in the dynamic figure describes their journey. Going
was downhill and coming back uphill, so
their speed on the way there was 30 km/hour
and on the way back 10 km/hour.
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What other information about the trip can you glean from the graph and value table?
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What is the meaning of the numbers that appear in the correspondence rules
describing the back and forth legs of the trip?
What else can you learn about the trip
from these numbers?
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On their next trip, the bikers want to go for a longer, 6-hour ride.
Use translations to change the description and plan
a 6-hour trip along the same road. Record the new correspondence rules
describing the trip. What will be the total length of the trip?
At what time must the riders turn around and start heading back?
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The riders want to go on a trip in which the way there, along the same road, is 4 hours.
Change the description accordingly. Record the new correspondence rules.
What will be the total length of the trip? At what time will
the trip end?
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The riders want to go on a 100 km long trip. Change the description and plan such a
trip. Record the correspondence rules describing the trip.
At what time must the riders turn around and start heading back?
At what time will the trip end?
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