Question

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

Answer 1

The answer is A

Explanation:

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.