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Prakash bought a new car at the dealership for $27,000. It is estimated that the value of the car will decrease 7% each year. Which exponential function models the value v of the car after t years?

Respuesta :

Aliwohaish12
v=27,000×(1−0.07)^t
V=27000 (0.93)^t

Answer: The exponential function models the value v of the car after t years is given by

[tex]V=27000(0.93)^t[/tex]

Step-by-step explanation:

Since we have given that

Value of the new car at the dealership = $27000

Rate of decrease = 7%

As we know the formula for "Exponential function" :

[tex]V=P(1-0.07)^t\\\\V=27000(1-0.07)^t\\\\V=27000(0.93)^t[/tex]

Hence, the exponential function models the value v of the car after t years is given by

[tex]V=27000(0.93)^t[/tex]