The equation y=6.72(1.014)^x models the world population y, in billions of people, x-years after the year 2000. Find the year in which the world population is about 10 billion?

Question

5936 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-03T09:33:07

#y = 6.72*(1.014)^x#

#10 = 6.72*(1.014)^x#

#10/6.72 = 1.014^x#

#log(10/6.72) = log(1.014^x)#

#log(10/6.72) = x*log(1.014)#

#x = log(10/6.72)/log(1.014) = (log(10)-log(6.72))/log(1.014)#

#x = (log(10)-log(6.72))/log(1.014) =(1-log(6.72))/log(1.014) ~~ 28.59.#

So the world population would reach 10 billion in the middle of year #2028#. In fact it is expected to be around 2100.