Terrence buys a new car for $20,000. the value of the car depreciates by 15% each year. if f(x) represents the value of the car after x years, which function represents the car’s value? f(x) = 20,000(0.85)x f(x) = 20,000(0.15)x f(x) = 20,000(1.15)x f(x) = 20,000(1.85)x

Answer

The function represents the car’s value after x years.

f(x) = 20,000(0.85)x

Reason

As given

Terrence buys a new car for $20,000.

The value of the car depreciates by 15% each year.

15 % is written in the decimal form

= 0.15

Thus

The decrease in the value of car is represented by = a (1 - r)× t

Where a is the original cost

r is the depreciates rate in decimal form

t is time in years.

Here a = $20000 ,r = 0.15 , t = x years

The value of car after x years = 20,000 (1 -0.15)x

                                                 = 20000(0.85)x

Therefore the the value of the car after x years is represented by  f(x) = 20,000(0.85)x .

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