Population Growth

qgh hah

Student

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The death rate of a town is 4% p.a. if the population of the town three years ago was 40,000 and it's present population is 46,305, find the birth rate of the town.

  • 12 Mar, 2024
Replies (3)
Harit Thakuri

Instructor

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To find the birth rate of the town, we can use the formula for population growth:

Population=Initial Population×(1+Growth Rate)Number of Years

Given:

  • Initial population (three years ago): 40,000
  • Present population: 46,305
  • Death rate: 4% per annum

Let's denote the birth rate as �. Then, the growth rate would be the birth rate minus the death rate:

Growth Rate=Birth Rate−Death Rate

0.04=�−0.04

�=0.08

Now, we can use this birth rate to find the present population from the initial population:

46,305=40,000×(1+0.08)3

46,30540,000=(1.08)3

1.157625=1.259712

1.1576251/3=1.087775

So, �=0.087775, which is 9%. Therefore, the birth rate of the town is 9%.

  • 12 Mar, 2024

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