The Number of Bacteria in a Culture Is Increasing According

question 19

Multiple Choice

The number of bacteria in a culture is increasing according to the law of exponential growth. After 5 hours there are 175 bacteria in the culture and after 10 hours there are 425 bacteria in the culture. Answer the following questions, rounding numerical answers to four decimal places. (i) Find the initial population.
(ii) Write an exponential growth model for the bacteria population. Let t represent time in hours.
(iii) Use the model to determine the number of bacteria after 20 hours.
(iv) After how many hours will the bacteria count be 15,000?

• A) (i) 72.0588 ; (ii) ; (iii) 3,819.3668 ; (iv) 32.4162 hr
• B) (i) 74.2088 ; (ii) ; (iii) 5,194.0840 ; (iv) 34.6442 hr
• C) (i) 72.0588 ; (ii) ; (iii) 2,506.6327 ; (iv) 30.0817 hr
• D) (i) 77.8388 ; (ii) ; (iii) 7,945.5374 ; (iv) 36.7554 hr
• E) (i) 79.3988 ; (ii) ; (iii) 10,598.0009 ; (iv) 38.5348 hr

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Definitions:

Low-growth Markets

Markets characterized by slow or no growth in terms of sales or customer base, often saturating or mature industries.

Cash Cows

In business, products or units that generate significantly more money than they consume, often found within mature markets where they have established a dominant market share.

Excess Funds

Refers to the surplus money a business has after all its operational costs, taxes, and obligations have been met, which can be invested or saved for future use.

Growth Strategies

Approaches and methods businesses use to achieve higher levels of market share, revenue, and profitability.