Respuesta :

daltonblevins90

Answer:

When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.

Step-by-step explanation:

Answer:

[tex]y  =Ae^{-kx}[/tex]

would be the exponential decay function for initial population A and decaly rate is -k.

Step-by-step explanation:

Exponential decay occurs when rate of change of population or any other quantity is proportional to the present population or quantity present

i.e. if y is the population

then dy/dx = -ky where k is a positive constant of proportionality

[tex]\frac{dy}{y} =-kdx\\ln y = -kx+C\\y = e^{-kx+C} =Ae^{-kx}[/tex]

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