The generation time G for a particular bacterium is the time it takes for the population to double. The bacteria increase in population is shown by the formula G = t over 3.3log a p, where t is the time period of the population increase, a is the number of bacteria at the beginning of the time period, and P is the number of bacteria at the end of the time period. If the generation time for the bacteria is 4.5 hours, how long will it take 4 of these bacteria to multiply into a colony of 7525 bacteria?

Round to the nearest hour.

A) 95 hours

B) 132 hours

C) 2 hours

D) 57 hours

Question

Mathematics

Mackenzie Archer

23 October, 08:13

The generation time G for a particular bacterium is the time it takes for the population to double. The bacteria increase in population is shown by the formula G = t over 3.3log a p, where t is the time period of the population increase, a is the number of bacteria at the beginning of the time period, and P is the number of bacteria at the end of the time period. If the generation time for the bacteria is 4.5 hours, how long will it take 4 of these bacteria to multiply into a colony of 7525 bacteria?

Round to the nearest hour.

A) 95 hours

B) 132 hours

C) 2 hours

D) 57 hours

+4

Answers (1)

Know the Answer?

Dania Zimmerman · Answer 1

The correct answer among the choices provided is option A. It takes 95 hours for these bacteria to multiply into a colony of 7525 bacteria. The proper way to solve this problem is to substitute values in the given equation. Let 't' be the time which is 4.5 hours, 'a' be the initial number of bacteria, and 'p' the number of colonies which is 7525.