Question

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

Answer 1

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.