Jeff K. answered • 05/07/20

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Hi, Sekarri

Here's how to solve this one. The population equation is: P(t) = 50(1+0.05t)/2 + 0.01t [P is in thousands]

Part A requires us to solve for t when P(t) = 40 thousand.

Therefore, we can write: 40 = 50(1 + 0.05t)/2 + 0.01t

Multiply through to simplify: 40 = (50 + 2.5t)/2 + 0.01t

40 = 25 + 1.25t + 0.01t

15 = 1.26t

t = 15/1.26 [dividing both sides by 1.26]

= 11.9 months or 12 months, rounding up

Part B: The limiting factors, as with any population, will be their __environment__, namely space, food and water.