In 1951, the population of India was 357 million people. By 1981 it had grown to 984 million. If the population is growing exponentially, when (in what month of what year) will the population reach 1 billion people?

How do you know what month?

-Reiny

I think you are talking about this post

http://www.jiskha.com/display.cgi?id=1283104183

the answer was 30.477 years
which means 30 years + .477 of the next year
so I multiplied .477x12 (12 months)
to get 5.7 months
So for 5 months the 1 Billion has not been reached and we need the 6th month.

jan = 1
feb = 2
..
may = 5
june = 6

I just reposted this again a couple seconds ago. Didn't see you helped me with this. Thanks for you help...

To find out when the population of India will reach 1 billion people, we need to use exponential growth. The equation for exponential growth is given by:

P = P0 * (1 + r)^t

where:
P is the final population
P0 is the initial population
r is the growth rate
t is the time period

In this case, the initial population P0 is 357 million, the final population P is 1 billion (which is equivalent to 1000 million), and we need to find the value of t (time period) when the population reaches 1 billion.

To find the growth rate (r), we can use the formula:

r = (P/P0)^(1/t) - 1

Substituting the given values:

r = (1000/357)^(1/t) - 1

Now, we can solve this equation to find the value of t.

To do this, we can use logarithms. Taking the natural logarithm (ln) of both sides of the equation, we get:

ln(r + 1) = (1/t) * ln(1000/357)

Now, let's calculate the value of t using the logarithmic equation:

t = ln(1000/357) / ln(r + 1)

Once we have the value of t, we need to calculate the number of years from 1981 (the given year) to the year when the population reaches 1 billion. Finally, we can determine the exact month when the population will reach 1 billion by adding the calculated number of years to 1981.