Suppose that the precipitation in Chicago can be
modeled by a trigonometric function. Represent
time in months elapsed since the beginning of the
year (in other words, in January = 0; February = 1).
The average monthly precipitation for the year is
3.5 inches, and February is the driest month of the
year with 2.25 inches of precipitation.
A. Identify the independent and dependent
variables, both with letter names (and) and what
they represent in this scenario.
Independent variable:
Dependent variable:
B. Find the amplitude and period of the function.
Show your work.
Amplitude:
Period:
C. Write the trigonometric function that represents
the expected precipitation for any given month.
Explain why you chose your function type, and
show work for any values not
already given in part B above.
D. Graph the function you wrote in part C with
technology,
E. Predict when the wettest month will be and give
the expected precipitation for this
month. Show/explain how you arrived at your
conclusions.