A park began with a population of 8 rabbits. Every year, the rabbit population triples. How long will it take for the population to reach 1,944 rabbits?
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Answer:
It will take 5 years for the population to reach 1,944. Option D is correct.
Step-by-step explanation:
Initial population = I = 8
Final population = F = 1944
number of years = x
As given, the population is tripled every year that can be calculated using:
F = I*3^x
By putting values in this equation, we get
1944 = 8*3^x
1944/8 = 3^x
243 = 3^x
3^x = 243
3^x = 3^5
x = 5 bases are same so powers can be simplified.
Therefore, it will take 5 years for the population to reach 1,944. Option D is correct.