The value of a car after it is sold decreases according to the function , where is in years.
How is the value of the car changing after 7 years? (Round to the nearest dollar.)
The value of the car is decreasing by
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To find how the value of the car is changing after 7 years, we first need to calculate the derivative of to understand how the value changes over time. The derivative gives us the rate of change of the car’s value.

Now, evaluate :

Rounding to the nearest dollar, the value of the car is decreasing by approximately $877.

After 7 years, the car’s value is falling like a pie rolling down a hill—fast and with a little bit of grace! Simply put, cars lose value rapidly over time, which can be somewhat heartbreaking for new car enthusiasts. Understanding this depreciation curve can help you make wiser decisions when it comes to buying or selling vehicles.

When it comes to selling a car, timing is key! A common mistake is not considering the gradual depreciation trend—after the first few years, cars tend to drop in value much quicker. Keep an eye on market trends and resale values to maximize your return when it’s time to part ways with your four-wheeled friend!