Mathematics
: asked on dee071165

16.10.2020

, where t represents the number of years from the time of introduction.

Step 1 of 2 : What is the quadrupling-time for this population of fish?

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28.04.2023, solved by verified expert

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**Answer:**

**Step-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.

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