A town's population is currently 10,000. If the population doubles every 38 years, what will the population be 76 years from now?

Redirected from "Suppose that I don't have a formula for #g(x)# but I know that #g(1) = 3# and #g'(x) = sqrt(x^2+15)# for all x. How do I use a linear approximation to estimate #g(0.9)# and #g(1.1)#?"
1 Answer
May 16, 2018

#40,000#

Explanation:

As every #38# years... the town population doubles.... #38# years later.... it will be #10,000xx2=20,000#

#38# years later....
It will double again
But this time.. the population is already #20,000# so that will double

#20,000xx2=40,000#