You put some ice cubes in a glass, fill the glass with cold water, and then let the
glass sit on a table. Sketch a rough graph of the temperature of the water as a
function of the elapsed time. Explain.
Sketch a rough graph of the number of hours of daylight as a function of the time of
year in Cleveland.
At first, there were very few cases of the flu. People were falling ill, but so slowly
that the news didn’t catch the attention of the papers. After two weeks, though, the
infection reached epidemic proportions. But then things slowed down a bit. By the
end of a month, nearly everyone had come down with the bug and there were just a
few new cases each day. Sketch a graph of the total number of cases as a function of
time. Sketch a graph of the current number of cases as a function of time.
Louise swims to the island in the middle of a big lake. When she starts out, she has
lots of energy. However, she tires soon and her speed decreases until she reaches the
island. Sketch a graph of Louise’s distance from the island as a function
of time. Sketch a graph of Louise’s distance traveled as a function of time.
For each of the following, describe in words the situation that the graph depicts. Use
both the language of amounts as well as rates.
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