If a Bacteria Population Starts with 100 Bacteria and Doubles $n=f(t)=100\left(2^{\frac{t}{3}}\right)$

question 74

Multiple Choice

If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is $n=f(t) =100\left(2^{\frac{t}{3}}\right)$ . When will the population reach 35,000? Round the answer to the nearest tenth.

• A) 30.4 hours
• B) 15.4 hours
• C) 20.4 hours
• D) 35.4 hours
• E) 25.4 hours

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Definitions:

Stimulus Control

A behavioral intervention technique involving the alteration of environmental factors to modify a specific behavior by manipulating the cues that trigger it.

Antecedent Cues

Environmental or psychological triggers that precede and potentially influence an individual's behavior or emotional state.

Learned Pattern

Behaviors or responses that are acquired through observation, experience, or teaching.

Undesirable Behavior

Actions or conduct deemed inappropriate, disruptive, or harmful by societal, cultural, or professional standards.