A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the exponential function P(t) = 7bt, where t is the time in weeks after the release and b is a positive unknown base. After observing the population growth over a few weeks, the exponential function P(t) = 7(2)t is used to model the growth. Interpret the significance of 2 in the function as it applies to the situation.
A) the population is doubling each week
B) the population is doubling each month
C) the population is counted every 2 weeks
D) the population is increasing by 2 fish each week
So b is equal to a positive unknown base. With the other variables as unknown the first week is equal to 7, and the next week is equal to 14, and as t increases, so will the population.
