What is the parent equation for exponential growth and decay?

Doing so allows you to really see the growth or decay of what you're dealing with. The basic parent function of any exponential function is f(x) = bx, where b is the base. Using the x and y values from this table, you simply plot the coordinates to get the graphs.

Step-by-step explanation:

A = P x r^t

Step-by-step explanation:

A = Amount (e.g. number of organisms in population after certain period of time)

P = Principal/ Initial Value (e.g. the starting population)

r = rate as a decimal (e.g. if a population increases over certain period of time by 20%, r would equal 1.2)

t = time in whichever units you need.

Example of problem using formula:

A population of 2000 decreases by 20% every year, find the population size after 5 years.

A = ?

P = 2000

r = 0.8

t = 5

A = Pxr^t

A = 2000 x 0.8^5

A = 655.36

Hope this helped!

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-aparri

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