Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She

observed that the population decays by a factor of every 4 months. The population of penguins can be

modeled by a function, P, which depends on the amount of time, t (in months).

When Talulah began the study, she observed that there were 27,000 penguins in Antarctica.

Write a function that models the population of the penguins t months since the beginning of Talulah's

study.

P (t) =

Question

Kason Wiley

Mathematics

6 June, 19:42

Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She

observed that the population decays by a factor of every 4 months. The population of penguins can be

modeled by a function, P, which depends on the amount of time, t (in months).

When Talulah began the study, she observed that there were 27,000 penguins in Antarctica.

Write a function that models the population of the penguins t months since the beginning of Talulah's

study.

P (t) =

+2

Answers (1)

Know the Answer?

Tabitha Maldonado · Answer 1

P (t) = 27000 - 4*t

Step-by-step explanation:

Over a period of time, if we know the population at certain time, and the rate of change of the population, we can express the function describing such population by means of these two parameters

Then:

P (t) = P₀ + 4*t

In our case

P (t) = 27000 - 4*t

Sign minus is for decreasing population t is in months, 4 is the rate of change and finally 27000 was population the first time Talulah counted the population