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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

Sagot :

elcharly64

Answer:

[tex]f(x)=200\cdot(0.85)^x[/tex]

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:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

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:

[tex]f(x)=200\cdot(1-0.15)^x[/tex]

Operating, the function is:

[tex]\mathbf{f(x)=200\cdot(0.85)^x}[/tex]

The function  to represent the wave of the skateboard f (x) in dollars after I years since buying it is[tex]200 \times (85)^x[/tex]

Important information:

  • Jim buys a skateboard for $200.
  • The value of the skateboard depreciates by 15% each year since buying it

Creating a function:

[tex]= 200 \times (1- 0.15)^x\\\\= 200 \times (0.85)^x[/tex]

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

learn more about the function here: https://brainly.com/question/11364456

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