Math Problem Statement

Find the rate of growth of the population in 1961 from the given data table.

Solution

The table provides the population (in millions) at various years. We are asked to find the rate of growth of the population in the year 1961.

The given data is as follows:

  • Year 1931: Population = 40.62 million
  • Year 1941: Population = 60.80 million
  • Year 1951: Population = 79.95 million
  • Year 1961: Population = 103.56 million
  • Year 1971: Population = 132.65 million

We can calculate the rate of growth using the following formula for average rate of change (growth rate between two periods):

Growth Rate=Population in 1961Population in 1951Year in 1961Year in 1951\text{Growth Rate} = \frac{\text{Population in 1961} - \text{Population in 1951}}{\text{Year in 1961} - \text{Year in 1951}}

Let me compute that for you.The rate of population growth between 1951 and 1961 is approximately 2.36 million people per year.

Would you like more details or have any questions?

Here are five related questions you might find interesting:

  1. What is the percentage growth rate over a specific decade?
  2. How would the population grow if the same rate continued beyond 1971?
  3. Can we predict the population in 1981 using linear growth from previous data?
  4. How does the population growth between 1961 and 1971 compare to the previous decades?
  5. How do we calculate exponential growth for populations?

Tip: Always note whether the rate of growth is consistent over different periods to determine if the trend is linear or exponential.

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Math Problem Analysis

Mathematical Concepts

Rate of Change
Linear Growth
Population Growth

Formulas

Growth Rate = (Population in 1961 - Population in 1951) / (1961 - 1951)

Theorems

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Suitable Grade Level

Grades 8-10