Answer:
This will happen in 28.79 years.
Explanation:
The population, after t years, is given by the following equation:
In which is the initial population and r is the rate of change. If r is positive, the population increases. Otherwise, if r is negative, the population decreases.
7 years ago the population was at 1720 and today only 950 of the birds are alive.
This means that and . With this, we can find r. So
To isolate 7, i apply the seventh root to both sides. so
So
Once the population drops below 150, the situation will be irreversible. When will this happen?
This is t when P(t) = 150. So
It is important to know that:
So we apply log to both sides
This will happen in 28.79 years.