Question

The population of a bacteria colony can be modeled using a geometric sequence in an experiment. Assuming day 1 is the first day of the experiment, the population on day 4 is 5,000 bacteria. On day 8 there are 52,000 bacteria present. Based on this experiment, what is the population of the colony on day 6 to the nearest whole number? A. 11,750 B. 16,125 C. 23,500 D. 67,500,000

Answer 1

The population of the bacteria colony on day 6 is 10,000 bacteria.

Step-by-step explanation:

To solve this problem, we can set up a proportion using the given information. We know that the population on day 4 is 5,000 and on day 8 is 52,000.

Let's set up the proportion:

4 days / 5,000 bacteria = 8 days / 52,000 bacteria

Cross-multiply and solve for the population on day 6:

4 * 52,000 = 8 * 5,000

208,000 = 40,000

Divide both sides of the equation by 4:

52,000 = 10,000

Therefore, the population of the colony on day 6 is 10,000 bacteria.