Use the table to answer the question. x f(x) 0 32,000 1 29,440 2 27,048.80 3 ? Sydney bought a new car for $32,000.00. If the car depreciates in value by 8% each year, the situation can be modeled by the equation f(x)=32,000(0.92)x . Complete the table to find the value of the car to the nearest cent after three years.(1 point) The value of the car after three years is $.
To find the value of the car after three years, we can substitute x=3 into the equation f(x)=32,000(0.92)^x.
f(3) = 32,000(0.92)^3
= 32,000(0.778688)
≈ 24,875.884
So, the value of the car after three years is approximately $24,875.88.