A fi sh pond initially has a population of 300 fish. When there is enough fi sh food, the population, P, of fi sh grows as a function of time, t, in years, as P(t)= 300(1.05)^t. The initial amount of fish food in the pond is 1000 units, where 1 unit can sustain one fi sh for a year. The amount, F, of fish food is decreasing according to the function F(t) =1000(0.92)^t)

Question

A fi sh pond initially has a population of 300 fish. When there is enough fi sh food, the population, P, of fi sh grows as a function of time, t, in years, as P(t)= 300(1.05)^t. The initial amount of fish food in the pond is 1000 units, where 1 unit can sustain one fi sh for a year. The amount, F, of fish food is decreasing according to the function F(t) =1000(0.92)^t)

a). Graph the function y = F(t)/P(t) on a different set of axes. What does this function represent? Describe the shape of this function.
b) What are the coordinates of this function at the crisis point? Explain the meaning of these coordinates.
c) Describe the living conditions of the fish population before, at, and after the
crisis point.

Answer 1

Third time for a variation of this question to pop up in the last 2 hours.

Try this:

www.jiskha.com/questions/1882777/consider-a-pond-that-contains-an-initial-population-of-300-fish-when-there-are-enough