Suppose the Number Y of Medical Degrees Conferred in the United

Multiple Choice

Suppose the number y of medical degrees conferred in the United States can be modeled by $y = 0.813 t ^ { 3 } - 55.70 t ^ { 2 } + 1185.2 t + 7752,$ for $0 \leq t \leq 32$ , where t is the time in years, with $t = 0$ corresponding to 1972. Use the test for increasing and decreasing functions to estimate the years during which the number of medical degrees is increasing and the years during which it is decreasing.

A) The number of medical degrees is increasing from 1972 to 1989 and 1997 to 2002, and decreasing during 1989 to 1997.
B) The number of medical degrees is increasing from 1972 to 1988 and 1996 to 2002, and decreasing during 1988 to 1996.
C) The number of medical degrees is increasing from 1972 to 1989 and 1996 to 2002, and decreasing during 1989 to 1996.
D) The number of medical degrees is increasing from 1972 to 1990 and 1996 to 2002, and decreasing during 1990 to 1996.
E) The number of medical degrees is increasing from 1972 to 1989 and 1995 to 2002, and decreasing during 1989 to 1995.