India's population has been catching up with China, with 1132 million in mid-2007 and growing at 1.6% per year, versus China then with 1318 million and growing at only 06%. If these rates continue, when will India have more people than China?
solve for t
1132 e^(.016t) = 1318 e^(.06t)
That will give you the time when they are equal.
You will have to use logs. (use ln)
Just noticed you have a typo, and I read it as .06
does it say 0.6 % ?
if so change my equation to
1132 e^(.016t) = 1318 e^(.006t)
You should get a t value of 15.2, add that to the year 2007 and draw your conclusion from that.
To determine when India will have more people than China based on their growth rates, we can utilize the concept of population projection. We need to calculate how many years it will take for India's population to exceed China's population at their respective growth rates.
First, let's determine the annual population growth in numbers for both countries:
India's annual population growth: 1132 million * 1.6% = 18.112 million
China's annual population growth: 1318 million * 0.6% = 7.908 million
Next, let's establish the difference between the current populations:
Population difference: 1318 million - 1132 million = 186 million
Now, we can estimate the number of years it will take for India to surpass China:
Years = Population difference / (India's annual population growth - China's annual population growth)
Years = 186 million / (18.112 million - 7.908 million)
Years = 186 million / 10.204 million
Years = 18.172 years (rounded to the nearest year)
Therefore, based on these growth rates, India is projected to have more people than China in approximately 18 years from the midpoint of 2007.