Question

A certain species of deer is to be introduced into a forest, and wildlife experts estimate the population will grow to P(t) = 759(3^t), 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 deer? Step 2 of 2: How long will it take for the population to reach 20493 deer, according to this model?

Name: a certain species of deer is to be introduced into a forest and wildlife experts estimate the population will grow to pt759312 where t represents the number of years from the time of introdu 30892
Uploaded: 2023-06-04T20:21:28-08:00
Duration: 1 min 29 s
Channel: Allison Knapp
Description: a certain species of deer is to be introduced into a forest and wildlife experts estimate the population will grow to pt759312 where t represents the number of years from the time of introdu 30892

          A certain species of deer is to be introduced into a forest, and wildlife experts estimate the population will grow to P(t) = 759(3^t), 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 deer?

Step 2 of 2: How long will it take for the population to reach 20493 deer, according to this model?

Added by Charles B.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Allison Knapp

06/04/2023

Step 1

In other words, we want to find the value of t that satisfies the equation: P(t) = 3P(0) where P(0) is the initial population at the time of introduction. Substituting the given formula for P(t), we get: 759(3^(1/2))^t = 3P(0) Simplifying, we can divide both Show more…

Show all steps

Thanks for your feedback!

A certain species of deer is to be introduced into a forest, and wildlife experts estimate the population will grow to P(t) = 759(3^t), 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 deer? Step 2 of 2: How long will it take for the population to reach 20493 deer, according to this model?