Question 13: In 1980, the population of Senegal was recorded as 5,700,800. After 15 years the count indicated an increase of 1,850,000 people. To what annual growth rate was it growing? In which year the Senegalese population will reach 10.000,000 people if the increase rate remains the same?

Answer 1

To calculate the annual growth rate, we first need to find the total increase in population over the 15 year period:

Total increase = 5,700,800 + 1,850,000 = 7,550,800

Next, we find the average annual increase in population:

Average annual increase = Total increase / 15 years = 7,550,800 / 15 = 503,386.67

Now, we can find the annual growth rate by dividing the average annual increase by the initial population and multiplying by 100:

Growth rate = (503,386.67 / 5,700,800) * 100 = 8.83%

To find out in which year the population of Senegal will reach 10,000,000 people, we calculate the number of years it will take for the population to increase by 2,450,000 from the current population of 7,550,800:

Number of years = 2,450,000 / 503,386.67 = 4.87 years

Since we can't have a fraction of a year, we round up to the next whole number. Therefore, it will take 5 years for the population of Senegal to reach 10,000,000 people.

Adding this to the initial year of 1980, we find that the Senegalese population will reach 10,000,000 people in the year 1985.