Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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 :

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

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.