Question

The price of Luke's car depreciates every six months. The value of the car, in dollars,

t years after it was purchased, is shown by the following expression. Which statement below best describes the coefficient, 25,000? A. The coefficient represents the initial value of Luke's car when it was purchased.
B. The coefficient represents the rate of depreciation of Luke's car per year.
C. The coefficient represents the total depreciation of Luke's car after t years.
D. The coefficient represents the resale value of Luke's car after t years.

Please choose the option that best fits the context of the problem.

Answer 1

The coefficient 25,000 in the expression best represents the initial value of Luke's car at the time of purchase, which is option A.

Step-by-step explanation:

The question is asking for the description of the coefficient in a mathematical expression that represents the value of a car over time. Based on the given context, the best description for the coefficient 25,000 would be option A, which states that the coefficient represents the initial value of Luke's car when it was purchased. This coefficient is essentially the starting point before depreciation takes effect. Options B, C, and D are incorrect because the rate of depreciation would involve a change over time, the total depreciation is an outcome after a period, and the resale value is the value after depreciation has been applied, not the initial value.