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Real Data

WORKING WITH REAL DATA

Directions: Form a group of 2 to 4 people. Select someone to record the groupâ??s responses
for this activity. All members of the group should work cooperatively to answer the questions.
If your instructor asks for your results, each member of the group should be prepared
to respond.

AIDS Cases

From 1993 to 2003 the cumulative number N of AIDS cases in thousands can be approximated by
N= -2x^2 + 76x +30, where x = 0 corresponds to the year 1993.

Year-- 1993 - 1995 - 1997 - 1999 - 2001 - 2003
Cases-- 422 - 565 - 677 - 762 - 844 - 930

(a) Use the equation to find N for each year in the table.

(b) Discuss how well this equation approximates the data.

(c) Rewrite the equation with the right side completely
factored.

(d) Use your equation from part (c) to find N for each year
in the table. Do your answers agree with those found in
part (a)?

Solution Summary

This solution thoroughly demonstrates how well this equation approximates the data.

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