## Drawing and Interpreting

* Problems and tasks from a variety of sources intended to illustrate
the way mathematics arises in life and work.*

** Sketching Graphs.** Sketch graphs to represent (a) a parachute
jump, (b) a car passing a slow moving vehicle on a two lane road, (c) a
baseball that bounces off the outfield wall, from the beginning to the end
of the play; (d) an oven used to make a roast from the time it is turned
on until it is shut off and cooled down.

** Height vs. Age.** Given data on the relation of height to age
of humans, of trees, and of corn, compare features of the graphs and
seek a mathematical model that explains the data.

** Telling Stories.** Given a graph with time on the
horizontal axis, write stories that explain the graph if it represents (i)
dollars as a function of time, (ii) temperature; (iii) position; (iv)
height; and (v) velocity.

** Taking a Bath.** Sketch graphs representing the height,
temperature, and volume of water in a tub when a person takes a bath.
Explain the events represented by these graphs.

*To contribute or correct items, please e-mail
information to: *`extend@stolaf.edu`* or click
here.*

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*Last Update: 12/29/98*