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NikAS [45]
3 years ago
14

Write an exponential growth function, and then describe a real-world situation that the function could represent. Do the same fo

r an exponential decay function
Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

Step-by-step explanation:

Exponential growth function can be represented as follows

y = e^{bt}

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 = e^{bt}

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 = e^{-bt}

The decay of   a radioactive material is an example of exponential decay function.

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