Exponential Population Growth: 1970-1980

In summary, the population of a country was 120 million in 1970 and 150 million in 1980, showing an exponential growth. To find the population t years after 1970, the equation P(t) = P0ekt can be used, where P0 is the initial population and k is the constant. To find the time it takes for the population to double, the value of k needs to be determined. Finally, to find when the population will reach 400 million, the equation can be solved for t using the given population values.
  • #1
jackleyt
20
0

Homework Statement


The population of a country is growing exponentially. The population in millions was 120 in 1970 and 150 in 1980.

(a) What is the population t years after 1970?

(b) How long does it take the population to double?

(c) When will the population be 400 million?



Homework Equations





The Attempt at a Solution


I don't know how to start the equation, so I listed out the years and the populations to no avail.
 
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  • #2
I'll give you the equation you need to use.

P(t) = P0ekt

P(0) = P0

Use the information given in the problem to find your constant (k). Once you have that it is very easy.

Cool, first post!
 

Related to Exponential Population Growth: 1970-1980

1. What is exponential population growth?

Exponential population growth is a rapid increase in the size of a population over a short period of time. It occurs when the growth rate of a population is proportional to the current population size, leading to a continuously accelerating growth curve.

2. How did the population growth change from 1970 to 1980?

The population growth during this time period was at its peak, with a global growth rate of 2.1% per year. This led to a doubling of the world's population from 3.7 billion in 1970 to 6.1 billion in 1980.

3. What factors contributed to the exponential population growth during this time?

There were several factors that contributed to the rapid population growth during this time, including advancements in medical technology, improved sanitation and hygiene, and increased access to food and resources. These factors led to lower mortality rates and higher birth rates, resulting in a significant increase in population size.

4. How did the exponential population growth impact the environment?

The exponential population growth during this time had a significant impact on the environment. As the population increased, there was a higher demand for resources and land for housing and agriculture, leading to deforestation, pollution, and loss of biodiversity. This also put a strain on natural resources and contributed to climate change.

5. What measures were taken to address the exponential population growth during this time?

To address the exponential population growth, various measures were taken, including family planning programs, education on reproductive health and contraception, and policies promoting sustainable development. These efforts aimed to slow down population growth and mitigate its impact on the environment and resources.

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