The percentages of total donations that went to the 10 colleges and universities that received the most in donations are shown in Table 50 for various years.

Let p be the percentage of total donations that went to the 10 colleges and universities that received the most in donations at t years since 2000.
a. Use technology to construct a scatterplot.
b. Use technology to graph the model p = 0.19t + 14.63 on the scatterplot. Does it come close to the data points?
c. Rewrite the equation p = 0.19t + 14.63 using the function name f.
d. Find f(11). What does it mean in this situation?
e. In 2013, $34.7 billion was donated to all colleges and universities. Estimate the amount of donations given to the 10 colleges and universities that received the most in donations.

Transcribed Image Text:

Table 50 Percentages of Total Donations That Went to the 10 Colleges and Universities That Received the Most in Donations Percent Year 2002 2004 2006 2008 2010 2012 2014 15.2 15.3 15.9 16.0 16.3 17.1 17.5