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Step-by-step explanation:
Exponential growth function can be represented as follows
y =
Here y increases exponentially with respect to t . As t increases , rate at which y increases is increases .or
dy / dt =by , or rate of increase depends upon y itself
dy / y = bdt
integrating on both sides
lny = bt
y =
It represents very fast increase in y .
The unrestricted growth of population of human being is an example of exponential growth . As population increases , rate of growth of population also increases.
For exponential decay function
y =
The decay of a radioactive material is an example of exponential decay function.