Problemas
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
Roztwór
Marisol
maestro · Tutor durante 5 años
4.4
(309 Votos)
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: