Question

Suppose the population of a particular region in 2016 was 13919261 and was increasing at the rate of 4.9% per year. At this rate, what was the population in 1981?

Answer 1

The population in 1981 was approximately 2,487,006.

Step-by-step explanation:

To find the population in 1981, we can use the formula:

P = Po * en(r)

Where:

• Po is the initial population (13919261)
• n is the number of years from the initial year to the desired year (1981 - 2016 = -35)
• r is the growth rate (4.9% or 0.049)

Substituting the values into the formula:

P = 13919261 * e-35(0.049)

Simplifying, we get:

P ≈ 13919261 * e-1.715

P ≈ 13919261 * 0.179

P ≈ 2,487,006

Therefore, the population in 1981 was approximately 2,487,006.