Suppose That in a Certain Biology Lab Experiment, the Number $N ( T ) = - 2 T ^ { 2 } + 240 T - 5,100 ( 40 \leq t \leq 90 )$

question 6

Multiple Choice

Suppose that in a certain biology lab experiment, the number of bacteria is related to the temperature T of the environment by the function $N ( T ) = - 2 T ^ { 2 } + 240 T - 5,100 ( 40 \leq t \leq 90 )$ Here, N(T) represents the number of bacteria present when the temperature is T degrees Fahrenheit. Also, suppose that t hr after the experiment begins, the temperature is given by $T ( t ) = 10 t + 40 ( 0 \leq t \leq 5 )$ How many bacteria are present when t = 5 hr?

• A) 300
• B) 900
• C) 1,200
• D) 400
• E) 600

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