The value of a car depreciates 18% every year. Which function could be used to find the value of a car that initially cost $42,000 after x years?
The value of a car depreciates 18% every year. Which function could be used to find the value of a car that initially cost $42,000 after x years?
f(x)=42000(0.18)x
f(x)=42000(1.82)x
f(x)=42000(0.82)x
f(x)=42000(1.18)x
The correct function that could be used to find the value of a car that initially cost $42,000 after x years is f(x)=42000(0.82)x.
Explanation:
Since the value of the car depreciates by 18% every year, the new value after each year would be 100% - 18% = 82% of the previous year's value. This can be represented as a multiplier of 0.82. The initial value of the car is $42,000, so the function would be f(x) = 42000(0.82)x.