The Number N of Bacteria in a Refrigerated Food Is $N ( T ) = 10 T ^ { 2 } - 20 T + 600,1 \leq T \leq 20$

Multiple Choice

The number N of bacteria in a refrigerated food is given by $N ( T ) = 10 T ^ { 2 } - 20 T + 600,1 \leq T \leq 20$ where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration,the temperature of the food is given by $T ( t ) = 3 t + 2,0 \leq t \leq 6$ where t is the time in hours. Find the bacteria count after 0.5 hour.
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A) About 565 bacteria
B) About 793 bacteria
C) About 653 bacteria
D) About 390 bacteria
E) About 705 bacteria