SOLUTION: A species of fish was added to a lake. The population size P(t) of this species can be modeled by the following exponential function: P(t)=1500/(1+7e^-0.4t) where t is the numbe

Question 937234: A species of fish was added to a lake. The population size P(t) of this species can be modeled by the following exponential function:
P(t)=1500/(1+7e^-0.4t)
where t is the number of years from the time the species was added to the lake.
Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
P(t) = 1500/(1+7*e^-0.4t)
P(0) = 1500/(1+7*e^0)
P(0) = 187.5
P(0) = 188
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P(9) = 1500/(1+7*e^-0.4*9)
P(9) = 1259.16455944
P(9) = 1259
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