The frog population at a lake doubles every three weeks. The population can be modeled by f (x) = 15 (2) ^x and f (6) = 960. What does the 15 represent?

A - The population after six weeks

B - The starting population

C - The rate the population increases

D - The number of weeks that have passed

We have to answer what does the 15 represent in the function : f (x) = 15 * 2^x, which models the increasing of the frog population at a lake. We know that the frog population doubles every 3 weeks and that: f (6) = 960. It means that: 15 * 2^ 6 = 15 * 64 = 960. And also f (0) = 15 * 2^0 = 15 * 1 = 15. Therefore it is a starting population. Answer: The 15 represents B - The starting population.