The Number of Certain Type of Bacteria Increases According to the Model

question 74

Multiple Choice

The number of certain type of bacteria increases according to the model $P ( t ) = 100 e ^ { 0.01896 t }$ where t is time (in hours)
a) Find P(0) .
b) Find P(5) .
c) Find P(10) .
d) Find P(24) .

• A)a) \(P ( 0 ) = 100\) b) \(P ( 5 ) \approx 109.94\) c) \(P ( 10 ) \approx 120.88\) d) \(P ( 24 ) \approx 157.62\)
• B)a) \(P ( 0 ) \approx 100\) b) \(P ( 5 ) \& 119.94\) c) \(P ( 10 ) \approx 102.88\) d) \(\mathrm { P } ( 24 ) \approx 257.62\)
• C)a) \(\mathrm { P } ( 0 ) = 120.56\) b) \(P ( 5 ) = 100.94\) c) \(P ( 10 ) \approx 620.88\) d) \(P ( 24 ) \approx 517.62\)
• D)a) \(\mathrm { P } ( 0 ) = 109.78\) b) \(P ( 5 ) \approx 100.94\) c) \(P ( 10 ) \approx 150.88\) d) \(P ( 24 ) \approx 357.62\)
• E)a) \(P ( 0 ) = 105\) b) \(P ( 5 ) \approx 119.94\) c) \(P ( 10 ) \approx 120.08\) d) \(P ( 24 ) \approx 157.52\)

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Definitions:

Robbers' Cave

An experiment focusing on group conflict and cooperation, illustrating how group identity can impact intergroup relations.

Prejudice

Preconceived opinions or judgments towards people or groups without sufficient knowledge, often based on stereotypes.

Hostility

A complex mix of emotions and behaviors that expresses opposition, anger, or aggression toward others.

Harold Kelley

a social psychologist known for his contributions to attribution theory, which explains how individuals infer the causes of other people's behavior.