Suppose you have a population that, over a long period, grows at a rate that causes it to double its size every 30 years. That rate is percent.

You should treat this problem the way you would treat a problem where the interest for a bank account is computed annually. Suppose that in the year 2004, that population is 1,000,000.


The population will be in the year 2034.

The population was in the year 1974.

It was in the year 1944.

In the year $t$ the population is $f(t) =$ . (Your answer will depend on $t$. Make sure you have the term $t-2004$ somewhere in an exponent.)

Hint: Use a formula of the form $f(t) = A2^{B(t-2004)},$ with suitable values of $A$ and $B$.