Question

I WILL GIVE BRAINLIEST!!!!
The hummingbird population on an island is declining at a rate of 1.4% per year. The population was 5500 in the year 2009.

What is the best prediction of the hummingbird population in the year 2016?

Enter your answer, rounded to the nearest integer, in the box.

The hummingbird population will be

Answer 1

Answer: 4983

Step-by-step explanation:

Initial population P=5500

Population declining at the rate of 1.4%

So, in the year 2010 population is

$P=5500-5500\times1.4\%=5500(1-1.4\%)$

For the year 2011

$P=5500(1-1.4\%)^2$

similarly, for the year 2016

no of years passed 2016-2009=7 years

$P=5500(1-1.4\%)^7$

$P=5500\times0.986^7\\P=5500\times0.90602\\P=4983.117\approx 4983$