The following table shows global estimated percentages in recent years of infants tested for HIV within two months of being born to women having HIV.

(a) Plot the data on a graphing calculator, letting t = 0 correspond to the year 2010.
(b) Using the regression feature on your calculator, find a linear, a quadratic, a cubic, and an exponential function that model these data.

(c) Plot the four functions with the data on the same coordinate axes. Which function or functions best capture the behavior of the data over the years plotted?
(d) Find the number of cases predicted by each function for 2022. Which of these are realistic? Explain.

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Year 2010 2011 2012 2013 2014 2015 2016 2017 2018 Percentage of Infants Tested 34.2 38.4 43.3 41.7 42.3 52.1 47.8 54.9 58.7