The graph below compares the age of car to its value. Which of the following is the age of the car when its value is $12,500?
A.
Between 2 and 3 years
B.
Less than 1 year
C.
Greater than 3 years
D.
Between 1 and 2 years
The Correct Answer and Explanation is:
To determine the age of the car when its value is $12,500, we’ll need to analyze the given graph, which compares the age of the car to its value. Although the graph itself isn’t provided here, I’ll walk you through the typical process to interpret such a graph.
- Understanding the Graph:
- On a typical value vs. age graph, the x-axis represents the age of the car (in years), and the y-axis represents the value of the car (in dollars).
- The graph usually shows a downward trend, indicating that as the age of the car increases, its value decreases.
- Locating the Value:
- To find the age of the car when its value is $12,500, locate the $12,500 mark on the y-axis of the graph.
- Draw a horizontal line from this value across to intersect the graph.
- Reading the Age:
- Follow the intersection point down to the x-axis to determine the corresponding age of the car.
- The intersection point will fall between two values on the x-axis, so you will need to choose the closest interval provided in the answer choices.
- Interpreting the Answer Choices:
- A. Between 2 and 3 years: This suggests the value of $12,500 is found when the car is between 2 and 3 years old.
- B. Less than 1 year: This would imply that a car less than 1 year old would have a value of $12,500, which is unlikely given the typical depreciation curve.
- C. Greater than 3 years: If the car were older than 3 years, the value would typically be lower, so this choice would be less likely.
- D. Between 1 and 2 years: This indicates that the car’s value of $12,500 falls when the car is between 1 and 2 years old.
Correct Answer: D. Between 1 and 2 years
Explanation: Typically, as a car ages, its value decreases due to depreciation. A car that is between 1 and 2 years old would still retain a significant portion of its initial value compared to older cars. In this scenario, $12,500 is a plausible value for a car of that age, as it would be depreciated but not yet significantly. If the graph shows that $12,500 intersects the age range of 1 to 2 years, this confirms the age range for that value. Thus, the most accurate answer, considering typical depreciation patterns and the graph’s trends, is between 1 and 2 years.