The Number of Bacteria in a Culture Is Increasing According

question 3

Multiple Choice

The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours there are 135 bacteria in the culture and after 4 hours there are 390 bacteria in the culture. Answer the following questions, rounding numerical answers to four decimal places. ​
(i) Find the initial population.
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(ii) Write an exponential growth model for the bacteria population. Let t represent time in hours.
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(iii) Use the model to determine the number of bacteria after 8 hours.
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(iv) After how many hours will the bacteria count be 25,000?
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• A) (i) 46.7341; (ii) ; (iii) 4,566.8441; (iv) 14.1787 hr
• B) (i) 48.8841; (ii) ; (iii) 5,941.5613; (iv) 16.4067 hr
• C) (i) 46.7341; (ii) ; (iii) 3,254.11; (iv) 11.8442 hr
• D) (i) 52.5141; (ii) ; (iii) 8,693.0147; (iv) 18.5179hr
• E) (i) 54.0741; (ii) ; (iii) 11,345.4782; (iv) 20.2973 hr

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Definitions:

Short-Run Phillips Curve

A graphical representation showing the inverse relationship between inflation and unemployment rates in the short term.

Shift Right

In economics, this refers to an increase in supply or demand in a market model, leading to a new equilibrium.

U.S. Net Exports

The difference between the value of goods and services the United States exports to other countries and the value of goods and services it imports from other countries.

Aggregate Demand And Supply Model

An economic model that explains price levels and the production of goods and services through the relationship between aggregate demand and supply.