Answer:
A) 952 insects are in the original colony
B) 10494 insects are in the colony after 20 weeks
C) 25 weeks
Explanations:The model representing the population of the species of insects
An exponential growth is of the form:
where P₀ is the original population
t is the time taken in weeks
Comparing the two equations:
952 insects are in the original colony
B. The number of insects that will be in the colony after 20 weeks
Substituting t = 20 into the function given
C) If the population, P = 20000