Answer:
1 yearStep-by-step explanation:
To find the quadrupling time for the population of fish, we need to determine the time it takes for the population to increase by a factor of 4.
Let P₀ = 723 be the initial population at t=0. Then, the population at any time t is given by:
P(t) = P₀(4^t)
If the population quadruples, it means that the new population is four times the initial population:
4P₀ = P₀(4^t)
Dividing both sides by P₀, we get:
4 = 4^t
Taking the logarithm of both sides, we have:
t*log(4) = log(4)
Solving for t, we get:
t = log(4)/log(4) = 1
Therefore, the quadrupling time for this population of fish is 1 year.