To accurately determine which statements are true according to the graph you referenced, I would need to see the graph or have detailed information about the earnings (y-axis) and hours worked (x-axis) for each of the individuals mentioned (the lawyer, the plumber, the entry-level worker, and Bill Gates).
However, I can help you understand how to evaluate the statements based on general principles of slope and y-intercepts:
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Initial Earnings: If the y-intercept (where the line crosses the y-axis) for the lawyer is higher than that of the plumber, then the lawyer has a greater initial amount of earnings. If the plumber's line starts higher on the y-axis than the lawyer's line, then the plumber earns more initially.
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Slope Comparisons: The slope indicates the rate of change of earnings over hours worked. If the slope of the lawyer's line is equal to the slope of the entry-level worker's line, then they have the same rate of change in earnings. A steeper slope means a higher rate of increase in earnings.
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Comparison of Earnings Over Time: If the intersection of the two lines (plumber and lawyer) happens to be after a certain number of hours, then the plumber may initially have higher earnings, but eventually the lawyer's earnings surpasses the plumber's due to a steeper slope.
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Y-Intercepts: If Bill Gates’ line has the same y-intercept as the entry-level worker's line, it implies that they both start with the same initial earnings.
If you can provide specific values or describe the graph, I can help you assess which statements are true based on that information.