SOLUTION: A biologist estimates there are 500 animals of a certain species in a particular region. He expects the function p(t)=500(0.9)^t/20 to model the future population of the species, w

Algebra.Com
Question 1181881: A biologist estimates there are 500 animals of a certain species in a particular region. He expects the function p(t)=500(0.9)^t/20 to model the future population of the species, where p(t) is the population t years after the initial count. The domain of the model function is
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Domain: Real numbers t such that

This is because negative time values do not make any sense. So we make t nonnegative.

The domain in interval notation is [0, infinity)
We can think of it like 0 <= t < infinity
The use of the square bracket says to include the endpoint 0.


RELATED QUESTIONS

A biologist estimates there are 200 animals of a certain species in a particular region.... (answered by greenestamps)
A small lake is stocked with a certain species of fish. The fish population is modelled... (answered by ankor@dixie-net.com)
A biologist estimates that 70% of deer in the region carry a certain type of tick. For a (answered by stanbon)
A conservation organization releases 100 animals of an endangered species into a game... (answered by ankor@dixie-net.com)
A conservation organization releases 100 animals of an endangered species into a game... (answered by stanbon)
Preliminary remark. This is an interesting question showing how, based on a mathematical... (answered by josgarithmetic,ikleyn,math_tutor2020)
The graph of a function P(t) represent the size of a growing deer population over time.... (answered by ikleyn)
the logistic growth function f(t)= 500/(1+83.3e^-0.162t) describes the population of an... (answered by stanbon)
the length of time, t (in days), for 25 animals of a particular variety to grow to a... (answered by reviewermath)