Transformations of graphs
Tag
Jenny and her little sister, Kate, enjoy playing tag
along a 150-meter path. Jenny tries to
catch Kate before Kate reaches the end of the path.
The tool below uses graphs, value tables, and a simulation to describe a race between the two girls,
in which both girls start at the same time and place. Click the run button
to start the simulation.
You can use translations to change the functions describing
the dependence of the girls' position on time in
order to create descriptions of various games of tag.
Analyze tag games
Describe the games of tag listed below with the aid of the tool.
Record the correspondence rules for each function
and determine who won the race.
- Jenny started running at the beginning of the path; Kate started
30 meters ahead of her.
- Jenny started running at the begnning of the path; Kate started
60 meters ahead of her.
- Jenny started running 60 meters before the beginning of the path;
Kate started at the beginning of the path.
- Both Jenny and Kate started running at the beginning of the path, but Jenny
waited 15 seconds after Kate started to run before starting herself.
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Propose other tag games and determine who won
them.
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