Question

Write an exponential function to represent a person consuming a bag of candy in which the initial value in an is 175 pieces and the rate of decay is 20%.

Answer 1

We will see that the exponential decay function is:

f(x) = 175*(0.8)^x

How to find the exponential decay?

The general exponential decay is:

f(x) = A*(1- r)^x

Where:

• A is the initial value.
• r is the rate of decay in decimal form.
• x is the variable, in this case is the time.

Here we know that the initial value is 175, and the rate of decay is 20%. To get this in decimal form, we just divide it by 100%.

20%/100%  = 0.2

Replacing that in the exponential function, we get:

f(x) = 175*(1 - 0.2)^x

f(x) = 175*(0.8)^x

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

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