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

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.