Pre Calc AB What will be the population of this endangered species in the preserve after 1 year?

Question

T = MONTHS

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?

P = 1500 over 1 + 8e^-0.15t

Answer 1

For the record, I don't think you entered that equation correctly (assuming "over" indicates division), given that it is a decreasing value over time... but here it is:

The tiny hiccup that students catch in these kinds of problems is to remember to convert to the units of t. Here t is in months, and you have a 1-year period of time, or t = 12 months. Plug t=12 into the equation:

P = 1500 / (1+8e^-0.15(12)) = 1500 / (1 + 8e^-1.8) = 1500 / (1+1.322) = 645.88

In the event the equation is supposed to look differently, please post the correction, and we can look again.