Question

A certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the population will grow to $$P(t) = (240)3^{\frac{t}{3}}$$, where t represents the number of years from the time of introduction. Step 1 of 2 : What is the tripling-time for this population of alligators?

Name: a certain species of alligators is to be introduced into a swamp and wildlife experts estimate the population will grow to pt 2403fract3 where t represents the number of years from the time 67578
Uploaded: 2022-01-29T02:18:44-08:00
Duration: 1 min 49 s
Channel: Darshan Maheshwari
Description: a certain species of alligators is to be introduced into a swamp and wildlife experts estimate the population will grow to pt 2403fract3 where t represents the number of years from the time 67578

          A certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the population will grow to $$P(t) = (240)3^{\frac{t}{3}}$$, where t represents the number of years from the time of introduction.

Step 1 of 2 : What is the tripling-time for this population of alligators?

$a certain species of alligators is to be introduced into a swamp and wildlife experts estimate the population will grow to pt 2403fract3 where t represents the number of years from the time 67578$

Added by Jacob G.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Darshan Maheshwari

01/29/2022

Step 1

We need to find the tripling-time, which is the time it takes for the population to triple. Let the initial population be $$P_0$$. At $$t=0$$, $$P(0) = (240)3^{\frac{0}{3}} = (240)3^0 = (240)(1) = 240$$. So, $$P_0 = 240$$. We want to find the time $$t$$ when the Show more…

Show all steps

Thanks for your feedback!

A certain species of alligators is to be introduced into a swamp, and wildlife experts estimate the population will grow to $$P(t) = (240)3^{\frac{t}{3}}$$, where t represents the number of years from the time of introduction. Step 1 of 2 : What is the tripling-time for this population of alligators?