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:

Leadership Role

The function or position of leading a group or organization, entailing responsibilities such as guidance, direction, and decision-making.

Foresight

The ability to anticipate future events, trends, or outcomes and plan accordingly.

Future Trends

Predicted developments or directions in a particular area of interest over the coming years, often based on current data, patterns, and projections.

Coercive Leadership

A leadership style characterized by the use of force, threats, or punishment to influence subordinates, often resulting in a climate of fear and compliance.