Question

Riley purchase a MacBook Pro for $1,500. It is known that the laptops value depreciates approximately 10% per year.

a. Write an exponential decay model?showing the value of the computer after t years.

b. Calculate the value of the computer after 4 years​

Answer 1

Answer:

  a) v(t) = 1500(0.90^t)

  b) $984.15

Step-by-step explanation:

a) For your exponential model, you are given ...

• initial value = 1500
• decay rate = -10%

So, you know the growth factor is 1 - 10% = 0.90, and the model is ...

  v(t) = (initial value)(1 +rate of change)^t

  v(t) = 1500(0.90^t)

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b) Filling in t=4 and doing the arithmetic, we find ...

  v(4) = 1500(0.90^4) = 984.15

The value of the computer after 4 years is modeled as $984.15.