To determine which statements are true, I would need to see the graph you are referring to. However, I can help you analyze the statements based on typical interpretations of graphs representing earnings over hours worked.
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The plumber initially earns more money than the lawyer, but the lawyer earns more as more hours are worked. - This statement could be true if the initial earning point (y-intercept) for the plumber is higher than the lawyer's but the slope (rate of change) for the lawyer is steeper.
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The entry level worker has the same slope as the lawyer. - This would be true if both the entry-level worker and the lawyer have the same rate of change in earnings over time (same slope).
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The lawyer has a greater initial amount of earnings than the plumber. - This would be true if the y-intercept (initial earnings) of the lawyer is higher than that of the plumber.
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The plumber has a steeper rate of change than the entry-level worker. - This statement would be true if the slope of the plumber's line is steeper than that of the entry-level worker's line, indicating that the plumber earns more per hour.
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Bill Gates has the same y-intercept as the entry-level worker. - This would be true if the initial earnings (y-intercept) for Bill Gates' earnings line is located at the same point on the y-axis as the entry-level worker's.
To confirm which statements are true, you would need to compare the slopes and y-intercepts of the lines represented in the graph.