Answer:
function: P = 480000 * (0.9)^t
after 3 years: P = 349,920
Step-by-step explanation:
First we need to know the model of an exponencial equation:
P = Po * (1 + r)^t
Where P is the final value after t years, Po is the inicial value and r is the rate.
In this case, we have Po = 480000 and r = -10% = -0.1 (negative because it is a decay and not a growth), so the equation is:
P = 480000 * (1 - 0.1)^t
P = 480000 * (0.9)^t
If we have t = 3 years, the final population is:
P = 480000 * (0.9)^3 = 349920
