The percentages of Americans who have been diagnosed with diabetes are shown in Table 23 for various age groups.

Let f(a) be the percentage of Americans at age a years who have been diagnosed with diabetes at some point in their lives.
a. Construct a scatterplot.
b. Find an equation of f.
c. Find f (50).What does it mean in this situation?
d. Find a when f (a) = 12.What does it mean in this situation?
e. The chance of any one person being diagnosed with diabetes at some point in their past increases as the person grows

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Table 23 Percentages of Americans Diagnosed with Diabetes, by Age Group Age Group (years) 35-39 Age Used to Represent Age Group (years) Percent 45 49 50-54 55-59 42 47 52 10 13 14 67