Cheyanne Leigh
2020-11-08
The following table lists the reported number of cases of infants born in the United States with HIV in recent years because their mother was infected.
Source:
Centers for Disease Control and Prevention.
a) Plot the data on a graphing calculator, letting
b) Using the regression feature on your calculator, find a quadratic, a cubic, and an exponential function that models this data.
c) Plot the three 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 all three functions for 20152015. Which of these are realistic? Explain.
Nathaniel Kramer
Skilled2020-11-09Added 78 answers
Step 1
Answer for (a): The following table lists the reported number of cases of infants born in the United States with HIV in recent years because their mother was infected
Now letting
Step 2
By using graphical calculator we have the following graph,
Step 3
Answer for (b) Using the regression feature on our calculator, a quadratic, a cubic, and an exponential function that models the above data are given as
Answer for(c) Let us plot above three function and data point on the same window we observe that the exponential function
Step 4
Answer for (d)
The only realistic value is given by the exponential function because the pattern of the data suggests that the number of cases decrease over time.
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