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Illustrate a conceptual image for a mathematics problem related to bacterial population growth. Show four bacteria at the start, visually conveying their multiplication into a large colony of bacteria over time. Also, depict a stylized representation of a calculator, indicating difficulty in solving the equation, without including any text or numbers on it. The overall visual should represent the problem: the transition from a small group of bacteria to a large colony in the content of a challenging arithmetic problem.

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? I understand how to set it up, but I am not getting any of the optional answers as my answer. I don't know how I'd plug it into my calculator.

Top 10 Answers Show all 16 answers

1. B 3/16

2. D 0.3281
3. C 1.31
4. A 95
5. B 43.3013

anubis is correct thank you <333

Anubis is correct

Anubis is still 100% right for November 2021!!! ^_^

Anubis is 100% correct

Still correct

Feb still correct

Still correct December 2022!

I don't understand the explanation with all the symbols. If anyone has time, can you please dumb it down for me? also how do you change bases??

Right still

Did you know?

Did you know that the generation time of a bacterium is defined as the time it takes for the population to double? To calculate the generation time, you can use the formula G = t/(3.3log a/p), where G is the generation time, t is the time period of population increase, a is the initial number of bacteria, and p is the final number of bacteria. For example, if we know that the generation time for a bacterium is 4.5 hours and we want to determine how long it will take for 4 bacteria to multiply into a colony of 7525 bacteria, we can use the formula. However, if you are having trouble getting the correct answer or plugging the equation into your calculator, it may be helpful to check that you are using the correct logarithm function in your calculator and that the calculations are being performed accurately.