The manager of a company made the graph below to show the value of a piece of office equipment after each of the 7 years following its purchase.
The graph titled value of equipment shows value on y-axis and time on x-axis. There are dots at (1, 7), (2, 6.5), (3, 6.4), (4, 4), (5, 2.5), (6, 2), and (7, 0.5).
Match the statement with the correct answer
1. What was the initial value of the equipment?
Answer: The graph does not provide enough information to determine the initial value of the equipment.
2. During which year did the equipment lose the most value?
Answer: The equipment lost the most value during Year 4.
3. Was there any year in which the equipment gained value?
Answer: No, the equipment did not gain value in any of the 7 years.
4. By what percentage did the equipment's value decrease from Year 1 to Year 7?
Answer: The graph does not provide enough information to determine the percentage decrease in value from Year 1 to Year 7.
is that true
Yes, those are the correct answers.
To match the statement with the correct answer, we need to analyze the graph and determine the relationship between the value of the office equipment and the number of years since its purchase. Let's look at each statement and see which one matches the given graph.
Statement 1: The value of the equipment decreased consistently over the 7 years.
To determine if this statement is true, we can examine the values on the y-axis. Looking at the graph, we see that the value decreases from 7 to 0.5 over the course of 7 years. Therefore, this statement is true.
Statement 2: The value of the equipment increased slightly in the first year but then steadily declined.
To determine if this statement is true, we can analyze the values on the y-axis. In the first year, the value is 7, which is higher than the value in the second year (6.5). Therefore, the equipment's value did increase slightly in the first year before steadily declining. Hence, this statement is true.
Statement 3: The value of the equipment remained constant throughout the 7 years.
To determine if this statement is true, we can look at the values on the y-axis. We observe that the value of the equipment changes from 7 to 0.5 over the 7 years, indicating that it did not remain constant. Therefore, this statement is false.
Based on the analysis, we can match Statement 1 and Statement 2 with the given graph.