Problem

According to data from the U.S. Department of Health and Human Services, the cumulative nu...

According to data from the U.S. Department of Health and Human Services, the cumulative number y of AIDS cases (in thousands) as of year x is approximated by

y = .004x3 − 1.367x2 + 54.35x + 569.72 (0 ≤ x<11),

where x = 0 corresponds to 1995.

(a) When did the cumulative number of cases reach 944,000?


(b) If this model remains accurate after 2006, in what year will the cumulative number of cases reach 1.1 million?

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