Question 81409
the frog population in a small pond grows exponentially. The current population is 85 frogs, and the relative growth rate is 18% per year. 
a. find function that models the population after t years.
A(t) = A(0)(1.18)^t
A(t) = 85(1.18)^t
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b. find the projected population after 3 years.
A(3) = 85(1.18)^3
A(3)= 139.65 frogs
Rounding down: 139 frogs
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c. find the number of years required for the frog population to reach 600.
600 = 85(1.18)^t
7.0588=1.18^t
Take the log of both sides to ge:
t=[log7.0588]/[log1.18]
t=11.81 years
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Cheers,
Stan H.