I am a fraction that is greater than 1 but less than 2 the sum of my numerator and denominator is 11 my denominator subtracted f
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Answer:
It takes 1 week for the ant population to double
It takes 1.58 weeks for the ant population to triple
It takes 5.06 weeks for the ant population to reach 10000
It takes 5.09 weeks for the ant population to be 200 times the ant eater population.
Step-by-step explanation:
It takes only 1 week for the population to double from 300 to 600
We can model the population of ant (or anteater) as the following:
Where a = 300 is the initial population at t = 0
When t = 1, P = 600
k = ln2 = 0.693
When the population tripled, p/a = 3
t = 1.1/k = 1.1/0.693 = 1.58 weeks.
When there are 10000 ants on board, p = 10000:
t = 3.51 / k = 3.51 / 0.693 = 5.06 weeks.
Similarly for anteater, at t = 0 there are 17 of them so A = 17. We can solve for their K parameter if the population doubled after 3.2 weeks
At the time there are 200 ants per anteater
weeks