can anyone explain the relevance and application of expotential functions?

Question

also how does expotential functions effect us in real life functions

Answer 1

Three applications that came to my mind are:

1.the growth of populations from bacteria to humans.

2.Half lives of radioactive elements in chemistry/physics.

modeled by the equation P(1/2)^(h/t)=A
where Pis the starting amount of the substance, h is the halflife, t is the elapsed time, and A is the amount available in the elapsed time

3. The ability to calculate interest on anything from savings accounts to mortgages:

modeled by one of two base equations that can be modified to fit more complex situations-

A=Pe^(rt) this is continuous growth/ interest

where again P is the initial investment, r is the rate, t is the elapsed time and A is the end balance after time t

however if your rate of growth is not continuous the equation

A=P(1+r/n)^(nt)

the only changes is n which is the number of times compounded in a given time such as monthly, quarterly, annually

Hope this is somewhat helpful.

Answer 2

the best example for exponential function in real life is population growth rate.

e.g to predict the human population in a particular region after 10 years

The grouth rate of bacteria in fridge etc etc

we use exponential functions

Answer 3

I think you mean exponential.

Exponential equations have lots of uses in various scientific fields. Two classic examples of phenomenon that can be represented as exponential equations are radioactive decay and the grow of bacterial colonies.