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A Car Originally Worth 25,000 Depreciates 20% Per Year. Which Equation Models This Situation? Y=25,000(.8)^t Y=25,000(80)^t C

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A car originally worth 25,000 depreciates 20% per year. Which equation models this situation? y=25,000(.8)^t y=25,000(80)^t C y=25,000(.2)^t y=25,000(1.2)^t

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Marisol maestro · Tutor durante 5 años
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Respuesta

To model the depreciation of the car, we need to use an exponential decay equation. The general form of an exponential decay equation is: where:- is the value of the car after years,- is the initial value of the car,- is the decay factor,- is the time in years.Given:- The initial value of the car, , is \$25,000.- The car depreciates by 20% per year, which means it retains 80% of its value each year.The decay factor is calculated as: So, the equation that models this situation is: Therefore, the correct answer is: