Explores the use of parallel lines to plot and draw lines. Practice problems are provided. Would the graph of y = 0.4x show exponential growth or exponential decay? Each time x is increased by 1, y decreases to one half of its previous value. So as showing in the graph this equation is showing decay.
How do you calculate growth and decay rate?
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.
How do you determine exponential growth from exponential 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 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.