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would be the exponential decay function for initial population A and decaly rate is -k.
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
C. A condition in which a quantity increases at a rate that is
proportional to the current value of the quantity
Exponential growth is increasing, but not at a steady rate. On a graph, it has a curve instead of being a straight line.
Exponential Decay -
A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.
Hope this answered your question ^^
Exponential growth is growth that increases by a constant proportion.
Here the rate of change is proportional to the function's current value. In simpler terms we can say that when growth becomes more rapid with respect to the growing total number, then it is called exponential.
For example, the growth of bacteria is exponential.
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.
Growth whose rate becomes even more rapid in proportion to growing total number or size.
(2 x 2 x 2)(4x4x4) = 2x2x2x2x2x2x2x2x2
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