Question 310. According to the graph, which of these statements is/are true? Check all that apply.(2 points)Responses The lawyer has a greater initial amount of earnings than the plumber.The lawyer has a greater initial amount of earnings than the plumber.The entry level worker has the same slope as the lawyer.The entry level worker has the same slope as the lawyer.The plumber has a steeper rate of change than the entry level worker.The plumber has a steeper rate of change than the entry level worker.The plumber initially earns more money than the lawyer, but the lawyer earns more as more hours are worked.The plumber initially earns more money than the lawyer, but the lawyer earns more as more hours are worked.Bill Gates has the same y - intercept as the entry level workers Bill Gates has the same y - intercept as the entry level worker

1 answer

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:

  1. 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.

  2. 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.

  3. 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.

  4. 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.