Let's take a look at the question:
A wildlife organization released a group of animals that are an endangered species into a preserve. The equation below models the population, P, of the species t months after the initial release. What will be the population of this endangered species in the preserve after 1 year?
Now, I am going to write out what each variable represents:
P=Population after initial release
t=number of months after initial release.
It is important to remember that e is not a variable as it represents a single number.
They are asking for the population (P) after 1 year. We know that 1 year =12 months, so what we are going to do is plug it into the t value in the equation:
P=1500/(1+8e0.15 x 12)
However, P must be a whole number, as we are counting the number of animals-half an animal would not be a good thing! So, we will round down to 30.
The population will be 30 animals.