Final answer:
The original value of the car was $23,625, determined by dividing the depreciated value of $18,900 by four-fifths.
Step-by-step explanation:
To find the original value of the car, we can set up a proportion using the given information. The question asks us to find the original value of a car that has depreciated to $18,900, which is four-fifths of its original value.
To find the original value, we need to divide the current value by the fraction that represents the current state of the car's value after depreciation, which is 4/5.
Original Value = Current Value / (4/5)
= $18,900 / (4/5)
= $18,900 / 0.8
= $23,625.
Therefore, the original value of the car was $23,625.