The federal tax code allows some items used for business purposes to be depreciated. That is, their taxable value decreases over time. A new van used in your delivery business has a taxable value of 
$24,000.
 The tax code allows you to depreciate this van by 
$2400
 per year. Find a formula that gives the taxable value T, in dollars, of the van after n years of depreciation.
T =

To find the taxable value $ T $ of the van after $ n $ years of depreciation, we can model the situation with a linear equation. The initial taxable value of the van is $24,000, and the value decreases by $2,400 per year. 

The general formula for depreciation can be written as:

\[
T = \text{Initial Value} - (\text{Depreciation per year} \times n)
\]

Substitute the given values:

\[
T = 24000 - 2400n
\]

So, the formula that gives the taxable value $ T $ in dollars after $ n $ years of depreciation is:

\[
T = 24000 - 2400n
\]

### Key Details:
- $ T $ is the taxable value after $ n $ years.
- $ n $ is the number of years.
- The taxable value decreases by $2,400 each year.

Would you like further details or have any questions?

Here are some related questions to explore:

1. What will be the taxable value of the van after 5 years?
2. How many years will it take for the van's taxable value to be reduced to zero?
3. If the depreciation rate changed to $3,000 per year, what would the new formula be?
4. What is the taxable value after 10 years?
5. Can you create a graph of the taxable value over 10 years?

**Tip:** Depreciation schedules can also follow non-linear methods, like double-declining balance, for faster value reduction early in the asset's life.

The federal tax code allows some items used for business purposes to be depreciated. That is, their taxable value decreases over time. A new van used in your delivery business has a taxable value of $24,000. The tax code allows you to depreciate this van by $2400 per year. Find a formula that gives the taxable value T, in dollars, of the van after n years of depreciation.

Discover how to calculate the taxable value of a van using a linear depreciation formula. Starting with an initial value of $24,000, the value decreases by $2400 each year. This simple approach helps to determine the taxable value of the van after any number of years. Suitable for high school students learning about linear equations and depreciation.

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