Question

2005 for each of the 14 million people present in a country 0.028 were born in 0.008 died during the year. Using an exponential equation, the number of people present in 2015 is predicted as

A. 17 millions
B. 20 millions
C. 25 millions
D. 18 millions

Answer 1

Using the exponential growth formula P = P0e^rt with the given birth rate and death rate over 10 years, it predicts that the population in 2015 would be approximately 17 million people.

Step-by-step explanation:

To predict the population of a country using an exponential equation, we can use the provided birth and death rates per individual. The net growth rate is the birth rate minus the death rate (0.028 - 0.008 = 0.020 or 2% per year). We use the initial population (P0) of 14 million in the year 2005 and apply the net growth rate over the 10 year period until 2015.

The exponential growth equation is P = P0ert, where P is the population at time t, P0 is the initial population, r is the growth rate, and t is the time (in years).

So, P = 14 million * e0.02*10 ≈ 14 million * e0.20 ≈ 14 million * 1.221402758.

Calculating this, we get P ≈ 14 million * 1.221402758 ≈ 17.099 million people. Rounding off to the nearest million gives us approximately 17 million people, which is option A.