the population in 2050 will be

Question

in 2006 the population of a country was 55.5 million people. from 2006 to 2050, the countrys population is expected to decrease by 5.5%. find the expected population of the country in 2050. round to the nearest tenth of a million

Answer 1

For exponential growth and decay:

 

f(x) = ab^x, where a = starting amount, b = rate, x = time

 

f(44) = (5.55 x 10¹⁰)(0.945)⁴⁴

f(44) = (5.55 x 10¹⁰)(0.08298)

f(44) = 0.46 x 10¹⁰

f(44) = 4.6 x 10⁹

Answer 2

Darinka,

 

For such percentage increase or decrease problems, it's pretty easy to use 100% as a reference figure. If it is a percentage increase problem, all you do is add the given percentage value to 100% and then multiply the solution of the addition by the given initial value. Likewise, if it's a percentage decrease problem, you simply subtract the given percentage value from 100% and then multiply the solution of the addition by the given initial value, remembering to divide your final value by 100 as represented by the symbol %

 

In the case of your question, I would say (100%-5.5%)x55.5million= 94.5/100 x 55.5x10^6

                                                                                                 = 52,447,500 people