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:

Residual Income

A measure of profit that exceeds the minimum required return on an investment or business venture.

Percentage

A proportion or share in relation to a whole, typically expressed as a fraction of 100.

Profit Margin

A financial metric used to assess a company's profitability by comparing net income to revenue.

Operating Income

The profit realized from a business's normal operations, calculated by subtracting operating expenses from gross profit.