Question

A fish pond initially has a population of 300 fish. When there is enough fish food, the population,P, of fish 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 functions P(t) and F(t) on the same set of axes. Describe the
nature of these functions.
b) Determine the mathematical domain and range of these functions.
c) Identify the point of intersection of these two curves. Determine the coordinates, to two decimal places, and explain what they mean. Call this point in time the crisis point.
d) Graph the function y =F(t)-P(t). Explain the significance of this function.
e) What is the t-intercept, to two decimal places, of the function y = F(t) - P(t)? How does this relate to the crisis point?
f) Comment on the validity of the mathematical model for P(t) for t-values greater than this intercept. Sketch how you think the curve should change in this region. Justify your answers.

Answer 1

Was this you ???
Just give yourself a nick-name so we can tell one post from another

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

Answer 2

no haha, so many grammar mistakes in that one. It didn't even make sense ..? @mathhelper