QuestionA bird species in danger of extinction has a population that is decreasing exponentially ( $\mathrm{A}=\mathrm{A}_{0} \mathrm{c}^{\mathrm{kt}}$ ). Six years ago the population was at 1800 and today only 1000 of the birds are alive. Once the population drops below 200, the situation will be irreversible. How many years from now will this happen?
The population will drop below 200 birds approximately $\square$ years from now. (Round the final answer to the nearest whole number as raeded. Round all intermediate values to 3 decimal places as needed.)

Studdy Solution
Determine the number of years from now.
Since $t$ is the total time from the initial population of 1800, we need to subtract the 6 years that have already passed:
$t_{\text{from now}} = 20.165 - 6 \approx 14.165$
Round to the nearest whole number:
The population will drop below 200 birds approximately $\boxed{14}$ years from now.

View Full Solution - Free

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms