To determine which situation is represented by the graph, we need to identify the initial number of stamps Gary has and the rate at which he collects stamps each week.
The problem states that Gary initially has 40 stamps, which is consistent across all options. Therefore, we should focus on the weekly rate of stamp collection.
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Identify the initial number of stamps:
- According to the statements, he starts with 40 stamps.
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Check the rate of collection each week:
- We need a graph to identify the slope, which represents the rate of stamp collection. However, since we don't have the visual graph, we'll analyze the options based on their descriptions.
Let's analyze the options:
- A. 20 stamps per week: After n weeks, he would have 40 + 20n stamps.
- B. 15 stamps per week: After n weeks, he would have 40 + 15n stamps.
- C. 5 stamps per week: After n weeks, he would have 40 + 5n stamps.
- D. 60 stamps per week: After n weeks, he would have 40 + 60n stamps.
Without the graph, we can't determine the exact slope, but usually, a steeper slope corresponds to a higher number of stamps collected per week.
If you had a specific point from the graph (like the number of stamps after 1, 2, or 3 weeks), you could substitute and match with the formulas above to find which option fits best.
Assuming the rate is given as, for example, increments of 20, 15, 5, or 60 depending on the weeks, you could see that:
- If the stamp collection goes up to 60 after 1 week, it means he collects 20 per week.
- If after 1 week it’s 55 stamps, that means 15.
- After 1 week total at 45 means 5.
- After 1 week total at 100 means 60.
Please check the graph with the actual values from it to determine which option fits based on the slope indicated.
If you provide the total stamps after specific weeks from the graph, I can assist further in resolving the scenario.
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