Sam bought a new car for $26,500. The car depreciates approximately 13% of its value each year.

a) What is the decay factor for the value of this car?

b) Write an equation to model the decay value of this car?

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To find the decay factor for the value of the car, we need to understand that the depreciation is approximately 13% per year.

a) The decay factor is calculated by subtracting the percentage of depreciation from 100% (or 1). In this case, the decay factor is 1 - 0.13 or 0.87.

b) To write an equation to model the decay value of the car, we can multiply the initial value of the car by the decay factor for each year. Let V represent the value of the car after a certain number of years. The equation would be:

V = Initial Value * (Decay Factor)^Years

In this case, the initial value of the car is $26,500, and the decay factor is 0.87. Let's assume the car has depreciated for n number of years, the equation would be:

V = $26,500 * (0.87)^n