What is the definition of exponential decay?

A. A condition in which a quantity decreases at a steady rate
B. A condition in which a quantity increases at a rate that is
proportional to the current value of the quantity
C. A condition in which a quantity increases at a steady rate
D. A condition in which a quantity decreases at a rate that is
proportional to the current value of the quantity

Respuesta :

The answer is c because When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. And it is the closest definition

A condition in which a quantity decreases at a rate that is proportional to the current value of the quantity

What is an exponential decay?

An exponential decay can be written as:

f(x) = A*(r)^x

Where 0 < r < 1.

Notice that the quotient between f(x + 1) and f(x) is:

f(x + 1)/f(x) = (A*(r)^(x + 1))/(A*(r)^x) = r

So, f(x + 1) is r times f(x), meaning that the quantity decreases at a rate that is proportional to the current value.

From this, we conclude that the correct option is D:

"A condition in which a quantity decreases at a rate that is proportional to the current value of the quantity"

If you want to learn more about exponential decays, you can read:

https://brainly.com/question/11464095