Q4. - Algebra 1

Question

In 1985, the population of a country was about 3.66 million people. By 2005, this number had grown to about 4.04 million people. What was the annual rate of change in population from 1985 to 2005?

F about 15,000 people per year

G about 19,000 people per year

H about 24,000 people per year

J about 38,000 people per year

Step-by-Step Solution

Answer

Option G is the correct answer.

Step 1. Define 1 million.

1 million is equal to 1000000.

Step 2. Define the annual growth rate of population.

The annual growth rate of population refers to the rate at which the number of individuals in a given population increase over a year.

Step 3. Determine the annual rate of change in the population for the given situation.

The population in the year 1985 $=3.66$ million $=3.66\times 1000000=3660000$

The population in the year 2005 $=4.04$ million $=4.04\times 1000000=4040000$

Total time duration $=2005-1985=20$ years

To find the annual rate of change calculate the difference between the population in the years 2005 and 1985 and then divide it by total time duration.

The annual rate of change is

$\begin{array}{l}=\frac{4040000-3660000}{20}\\ =\frac{380000}{20}\\ =19000\end{array}$

Hence, the annual rate of change in population from 1985 to 2005 is 19000 people per year.

 

Therefore option G is the correct answer.