Answered

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A biologist puts an initial population of 500 bacteria into a growth plate. The population is expected to double every 4 hours. Which of the following equations gives the expected number of bacteria , n, after x days?

Sagot :

Answer:

[tex]n=500 * 2^{6x} \\\\n=500*(2^{6})^{x}\\\\n=500 * 64^{x}[/tex]

Step-by-step explanation:

every 24 hour day contains six, 4 hour periods:

[tex]\frac{24}{4}=6[/tex]

Therefore, every day the bacteria experiences six doubling periods.

In other words, everyday you multiply the population by 2, six times

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