Mathematics

Problem

71. Biological Research Stephanie, a biologist who does research for the poultry industry, models the population

P

of wild turkeys,

t

days after being left to reproduce, with the function

P(t)=-0.00001 t^{3}+0.002 t^{2}+1.5 t+100

(a) Graph the function

y=P(t)

for appropriate values of

t

. (b) Find what the maximum turkey population is and when it occurs. (c) Assuming that this model continues to be accurate, when will this turkey population become extinct? (d) Writing to Learn Create a scenario that could explain the growth exhibited by this turkey population.

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