Question

In a certain simulation, the population of a bacteria colony can be modeled using a geometric progression. If the initial population is 1000 and the growth factor is 1.5, what is the population after 4 generations?

A) 1125
B) 1500
C) 3375
D) 5625

Answer 1

The population after 4 generations can be calculated by multiplying the initial population with the growth factor raised to the number of generations. In this case, the population after 4 generations is approximately 5062.5.

Step-by-step explanation:

The population of the bacteria colony can be modeled using a geometric progression. If the initial population is 1000 and the growth factor is 1.5, the population after 4 generations can be calculated as:

Population after 4 generations = Initial population * (Growth factor)^(Number of generations)

Substituting the values, we get:

Population after 4 generations = 1000 * (1.5)^4 = 1000 * 5.0625 = 5062.5

Therefore, the population after 4 generations is approximately 5062.5.