Jim buys a skateboard for $200 The value of the skateboard depreciates by 15% each year since buying it Create a function to represent the wave of the skateboard f (x) in dollars after I years since buying it

The function  to represent the wave of the skateboard f (x) in dollars after I years since buying it is

Based on the above information, the same equation should be considered.

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Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.

The exponential model for this situation is:

Operating, the function is:

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step-by-step explanation:

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