The First Amendment says: Congress shall make no law respecting an establishment of religion or prohibiting the free exercise thereof, or abridging the freedom of

The First Amendment says: €œCongress shall make no law respecting an establishment of religion or prohibiting the free exercise thereof, or abridging the freedom of speech or of the press, or the right of the people peaceably to assemble, and to petition the government for a redress of grievances.€ The percentages of Americans who feel the amendment goes too far in the rights it guarantees are shown in Table 35 for various years.

Let p be the percentage of Americans who think the First Amendment goes too far in the rights it guarantees at t years since 2000.
a. Construct a scatterplot.
b. Graph the model p = -2.11t + 39.02 on the scatterplot. Does it come close to the data points?
c. What is the slope? What does it mean in this situation?
d. Solve the equation p = -2.11t + 39.02 for t.
e. Use the result you found in part (d) to estimate the years when the percentages of Americans who felt the First Amendment goes too far in the rights it guarantees were equal to 18%, 22%, 26%, 30%, and 34%.

Table 35 Percentages of Americans Who Feel the First Amendment Goes Too Far in the Rights It Guarantees Year Percent 2001 2003 2005 2007 2009 2011 39 34 23 25 19 18