Respuesta :
The best prediction of the bird population in the year 2014 with the initial population being 3500, and a declining rate of 2.2% per year is 3132.
What is an equation?
An equation is used to compare two equivalent expressions with help of an equal sign('=').
We know that the population of the bird at the starting was 3500, and as it is been decreasing at a rate of 2.2%, therefore, after a year the population of the bird that will be left would be 97.8%(100%-2.2%) of the original values, similarly, after n number of years the population would be [tex](97.8\%)^n[/tex] of the original value. therefore, the equation that can be used to depict the number of birds after n number of years can be written as,
[tex]y =3500(0.978)^n[/tex]
where n is the number of years and y is the number of birds left after n years.
Now, as we need to find the number of birds that will be left in the year 2014,
n = number of years = 2014 - 2009 = 5
Substituting the values in our equation to find out the number of birds in the year 2014,
[tex]y =3500(0.978)^n\\\\y =3500(0.978)^5\\\\y =3,131.57\approx 3132[/tex]
Hence, the best prediction of the bird population in the year 2014 with the initial population being 3500, and a declining rate of 2.2%/year is 3132.
Learn more about Equation:
https://brainly.com/question/2263981
