Question

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?

Answer 1

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.