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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.

A95 hours
B132 hours
C2 hours
D57 hours

Verified Answer :

kayleecook2003p91n17

Answer: 1. B

2. D

3. C

4. A

5. B


Step-by-step explanation:

Answer:

95 hours .

Step-by-step explanation:

Equation: \(G=\frac{t}{3.3 \log_a p}\)

Where G is the generation time .

t is  is the time period of the population increase.

a is the number of bacteria at the beginning of the time period.

P is the number of bacteria at the end of the time period.

We are supposed to find 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.

So, G = 4.5 hours.

a = 4

p = 7525

Substitute the values in the given equation.

\(4.5=\frac{t}{3.3 \log_4 7525}\)

\(95.61=t\)

Hence it took 95 hours for 4 of these bacteria to multiply into a colony of 7525 bacteria.

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