SOLUTION: Hi!
Supposed a colony of flies increases according to the law of exponential growth there where 540 flies ( 3 days ago) and 720 flies one day ago.
a) Solve for the growth rate
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Question 714024: Hi!
Supposed a colony of flies increases according to the law of exponential growth there where 540 flies ( 3 days ago) and 720 flies one day ago.
a) Solve for the growth rate.
b) Solve for the initial population.
c) Develop a mathematical model.
d) use the model to predict the population of flies by tomorrow
Thank you . I wish i can get the answer
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Supposed a colony of flies increases according to the law of exponential growth there where 540 flies ( 3 days ago) and 720 flies one day ago.
a) Solve for the growth rate.
n(t) = ab^t
----
540 = ab^-3
720 = ab^-1
------
Divide to solve for "b":
4/3 = b^2
b = 2/sqrt(3)
----
Solve for "a":
720 = a(sqrt(3)/2]
a = 1440/sqrt(3)
------
Equation:
n(t) = [1440/sqrt(3)][2/sqrt(3)^t
b) Solve for the initial population.
n(0) = 1440/sqrt(3) = 831 when rounded down.
---------------------------------------------
c) Develop a mathematical model.
don above
--------
d) use the model to predict the population of flies by tomorrow
n(1) = [1440/sqrt(3)][2/sqrt(3)] = 2880/3 = 960
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Cheers,
Stan H.
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