Algebra-1

The function that describes the situation where a car purchased for 30,000 dollars decreases in value by 20% each year is exponential.

Here's why:

1.Exponential Function: The value of the car decreases by a constant percentage (20%) each year. This type of change is characteristic of exponential decay, where the quantity decreases by a fixed rate each period, leading to a multiplicative decrease.

The general form of an exponential decay function is:

where:

a is the initial amount (in this case, 30,000),

b is the decay factor (for a 20% decrease, (b = 1 - 0.20 = 0.80)),

x is the number of years.

So the function describing the car's value over time is:

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