A certain species of deer is to be introduced into a forest, and wildlife experts estimate the population will grow to P(t)=(187)3^t/2, where t represents the n

Question

A certain species of deer is to be introduced into a forest, and wildlife experts estimate the population will grow to P(t)=(187)3^t/2, where t represents the number of years from the time of introduction. How long will it take for the population to reach 1683 deer, according to this model?

Answer 1

P(t) = 187*3^t/2

 

We want P(t) = 1683:

 

1683 = 187*3^t/2

1683/187 = 3^t/2

9 = 3^t/2

 

Nine is three squared, so:

 

3² = 3^t/2

 

The exponents must be equal:

 

2 = t/2

 

4 years = t