The Number of Bacteria in a Culture Is Increasing According

question 43

Multiple Choice

The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours there are 140 bacteria in the culture and after 4 hours there are 370 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 8 hours.(iv) After how many hours will the bacteria count be 25,000?

• A)(i) 52.9730 ; (ii) ; (iii) 2,584.3367 ; (iv) 12.6702 hr
• B)(i) 55.1230 ; (ii) ; (iii) 5,271.7880 ; (iv) 17.2327 hr
• C)(i) 58.7530 ; (ii) ; (iii) 8,023.2414 ; (iv) 19.3439 hr
• D)(i) 60.3130 ; (ii) ; (iii) 10,675.7049 ; (iv) 21.1233 hr
• E)(i) 52.9730 ; (ii) ; (iii) 3,897.0708 ; (iv) 15.0047 hr

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Definitions:

Indirect Labor

Labor costs not directly associated with the manufacture of products or performance of services, such as maintenance and supervision.

Activity Rate

A rate that determines the cost driver of a particular activity, used in activity-based costing to allocate costs to products or services.

Supervising

The act of overseeing and managing employees or processes to ensure that tasks are completed efficiently and effectively.

First Stage Allocations

The initial process in cost accounting of assigning overhead costs to different departments or cost pools.