The percentages of elementary and secondary school- teachers who are union members are shown in Table 53 for various years.

Let p be the percentage of teachers who are union members at t years since 1995.
a. Use technology to construct a scatterplot.
b. Use technology to graph the model p = -0.43t + 57.32 on the scatterplot. Does it come close to the data points?
c. Rewrite the equation p = -0.43t + 57.32 using the function name f.
d. Find f(17). What does it mean in this situation?
e. Use f to estimate how much the percentage of teachers who were in unions changed from one year to the next.

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Table 53 Percentages of Teachers Who Are Union Members Year Percent 1995 2000 2005 2010 2013 58 54 53 52 49