To accurately evaluate the statements and determine which ones are true based on the graph you mentioned, I would need to see the graph itself. However, I can guide you on how to approach the analysis based on the statements provided:
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Slope Comparison: If the slopes (rates of change) of the entry level worker and lawyer lines are the same, then their earnings increase at the same rate. If the slopes differ, one profession earns more per hour than the other.
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Y-Intercept Comparison: The y-intercept indicates the initial earnings. If Bill Gates and the entry level worker have the same y-intercept, they would start at the same initial earnings level.
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Initial Earnings Comparison: To determine if the lawyer has a greater initial amount of earnings than the plumber, you need to compare their y-intercepts. The one with the higher y-intercept has higher initial earnings.
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Comparative Earnings Over Time: If the plumber initially earns more than the lawyer but the lawyer’s slope is steeper, this means the lawyer catches up over time as more hours are worked.
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Steeper Rate of Change: This would mean that the plumber earns more money per hour worked compared to the entry level worker if the plumber’s line has a steeper slope.
Once you analyze the graph based on these parameters, you can check which statements align with your findings. If you can share more specifics about the graph or the numerical values, I can help you further evaluate these statements!