Question

Vanessa regularly checks valuations of her car. She discovered that the valuatiated by the formula below, where t is time in years. Which best describes the number 200 in the formula?

Begin mathsize 18px style V equals 35 comma 700 times 0.85 to the power of t plus 200 end style
A. initial price of the car
B. the amount by which the price of the car decreases each month
C. the amount by which the price of the car decreases each year
D. the value the car approaches long-term

Answer 1

The number 200 in a car's valuation formula likely represents either the long-term value that the car approaches after extensive depreciation or the initial value from which depreciation starts. It typically remains constant in the depreciation formula, unaffected by time.

Step-by-step explanation:

It seems the question's main focus is omitted; however, it appears to pertain to a depreciation formula concerning a car's value over time. In the context of depreciation, the number 200 mentioned in the formula could represent the long-term value that the car approaches after a significant period or the initial value from which depreciation starts. Without the complete formula, it's challenging to deduce the precise role of 200. If it's a term that does not multiply or get affected by the time variable (t), it could very well be the value that the car will not fall below over time, regardless of depreciation.

The student's homework question likely involves an exponential decay model or a linear depreciation formula applied to an asset's value over time (in this case, a car). An asset's value may approach a particular value over time, often known as the salvage value, which could be represented by the fixed term in a depreciation formula.