How do you determine if an exponential function is growth or decay?
It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.
What is the formula for growth and decay?
The function P = P 0 e r t can be used to model population growth where is the initial population, is the growth rate, and is time. The exponential decay function can be written as f ( x ) = a ( 1 − r ) x where is the starting amount and is the rate of decay.
What is the decay factor in the exponential decay function y a 1 − r T?
If b is replaced by 1 - r and x is replaced by t, then the function is the exponential decay model y = a (1 - r)t, where a is the initial amount, the base (1 - r) is the decay factor, r is the decay rate, and t is the time interval.