Question

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

Answer 1

Answer:B- The starting population

Answer 2

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.