At a copy store, the price per copy depends on the number of copies, as shown in the following graph. Which context below correctly matches the graph?
Understand the Problem
The question is asking which interpretation of the pricing structure at a copy store matches the provided graph showing the cost per copy based on the number of copies. The goal is to analyze the price changes at different tiers of copies, as illustrated in the graph.
Answer
The price of the first one hundred copies is $0.11 per copy. For every block of 100 copies following, the price per copy decreases by $0.02 per copy up to 400 copies. After 400 copies, the price per copy no longer changes.
Answer for screen readers
The correct interpretation is:
The price of the first one hundred copies is $0.11 per copy. For every block of 100 copies following, the price per copy decreases by $0.02 per copy up to 400 copies. After 400 copies, the price per copy no longer changes.
Steps to Solve
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Analyze the Graph Examine the graph's cost per copy versus the number of copies. Notice the price decreases in steps as the number of copies increases. Identify the price for the first range of copies (0-100), then observe how the price changes for larger quantities.
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Determine Initial Cost The graph indicates that for the first 100 copies, the price per copy is $0.11. This corresponds with the beginning segment of the graph.
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Identify Price Reduction Steps Check how the price decreases after the initial copies. According to the graph, identify how many copies trigger a price decrease and by how much. It appears the price decreases after every 100 copies.
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Check After Which Copy Price Stabilizes Notice the graph shows a price of $0.03 after a significant number of copies. Determine the quantity of copies (e.g., 400) after which the price remains constant.
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Match the Interpretation Options Compare your findings with the provided answer choices. Check which interpretation matches the price structure indicated by the graph.
The correct interpretation is:
The price of the first one hundred copies is $0.11 per copy. For every block of 100 copies following, the price per copy decreases by $0.02 per copy up to 400 copies. After 400 copies, the price per copy no longer changes.
More Information
The graph illustrates a step function where the cost per copy decreases at specific intervals as the number of copies increases. Identifying the tiers of prices is essential for understanding pricing strategies in retail or service environments.
Tips
- Misinterpreting the ranges for the price reduction (e.g., not recognizing "per block" correctly).
- Overlooking the stabilization point where the price stops decreasing.
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