Question

The number of Drosophila fruit flies in a controlled experiment assumes the following growth pattern when the food source is limited:

N(t)=600/1+14e^−0.4t
where t measured in days.
How many fruit files were there in the beginning?

Answer 1

The number of fruit flies in the beginning of the experiment is 40.

Step-by-step explanation:

The growth pattern of the number of Drosophila fruit flies in a controlled experiment is given by the equation N(t) = 600/(1+14e^(-0.4t)), where t is measured in days.

To find the number of fruit flies in the beginning, we need to find the value of N(0), which represents the number of fruit flies when t = 0.

Substituting t = 0 into the equation, we get N(0) = 600/(1+14e^(-0.4*0)). Simplifying further, N(0) = 600/(1+14e^0) = 600/(1+14) = 600/15 = 40.

Therefore, there were 40 fruit flies in the beginning of the experiment.