essica purchased a car for d dollars a few years ago. During this time period, the value of her car depreciated. The expression below represents this situation.

Jessica's car depreciated by
% during this time period.

An equivalent expression that represents this situation is
.

1 answer

To express the depreciation of Jessica's car, we can use the concept of depreciation percentage.

Let's say that Jessica's car depreciated by \( p % \). The value of the car after depreciation can be expressed as:

\[ \text{Value after depreciation} = d \times (1 - \frac{p}{100}) \]

This expression shows that the car's current value is \( d \) (the original value) multiplied by \( (1 - \frac{p}{100}) \), which accounts for the percentage decrease.

If we want to express the situation without explicitly stating \( p \), an equivalent expression for the value of the car after depreciation can be stated as:

\[ d \times (1 - r) \]

where \( r = \frac{p}{100} \), representing the decimal form of the percentage depreciation.

So, to summarize:

  • Jessica's car depreciated by \( p % \) during this time period.
  • An equivalent expression that represents the situation is \( d \times (1 - \frac{p}{100}) \).