The population of Berlin, Germany was about 3,290,000 in 2011. Its population is
declining continuously at a rate of 2%. What is the predicted population for 2050?

Respuesta :

Population rate can be represented using exponential functions

The predicted population for 2050 is 1496280

How to determine the predicted population

The initial population is given as;

a = 3290000

The rate of decline is given as:

r = 2%

So, the population function is:

[tex]p = a*(1 - r)^t[/tex]

This gives

[tex]p = 3290000*(1 - 2\%)^t[/tex]

2050 is 39 years after 2011.

So, we have:

[tex]p = 3290000*(1 - 2\%)^{39\\[/tex]

Evaluate

[tex]p = 1496280[/tex]

Hence, the predicted population for 2050 is 1496280

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