Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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