A Population of Bacteria Is Introduced into a Culture $P = 500 \left( 1 + \frac { 4 t } { 50 + t ^ { 2 } } \right)$

question 59

Multiple Choice

A population of bacteria is introduced into a culture. The number of bacteria P can be modeled by $P = 500 \left( 1 + \frac { 4 t } { 50 + t ^ { 2 } } \right)$ where t is the time (in hours) . Find the rate of change of the population when t = 2.

• A) \(31.55 \text { bacteria/hr }\)
• B) \(29.15 \text { bacteria/hr }\)
• C) \(33.65 \text { bacteria/hr }\)
• D) \(32.75 \text { bacteria/hr }\)
• E) \(30.25 \text { bacteria/hr }\)

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Definitions:

Paired Buzzer-shock

A conditioning technique involving the pairing of a neutral stimulus (buzzer) with an aversive stimulus (shock) to provoke a response.

Fear Response

The fear response is an emotional and physiological reaction to perceived threats, activating the body's fight-or-flight response.

Extinction

Extinction, in psychology, is the process through which a conditioned response decreases or disappears as a result of repeated exposure without the unconditioned stimulus.

Conditioned Stimulus

An originally neutral stimulus that, after association with an unconditioned stimulus, comes to trigger a conditioned response.