According to the graph, which of these statements is/are true? Check all that apply.

Question

(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.

Bill Gates has the same y - intercept as the entry level worker
Bill Gates has the same y - intercept as the entry level worker

The entry level worker has the same slope as the lawyer.
The entry level worker has the same slope as the lawyer.

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.

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.

Answer 1

To determine which statements are true, we need to analyze the information given in the graph, assuming we have data regarding the earnings of the lawyer, plumber, and entry-level worker. Since I don't have access to the graph, I can't directly verify the statements. However, I can guide you on how to analyze them based on common graph characteristics:

1. Initial Earnings (Y-Intercept):

   • If the lawyer's line starts higher on the Y-axis than the plumber's line, then the statement "The lawyer has a greater initial amount of earnings than the plumber" would be true.
   • Conversely, if the plumber's line starts higher than the lawyer's, that statement would be false.
   • If Bill Gates and the entry level worker have lines that cross the Y-axis at the same point, then the statement "Bill Gates has the same y - intercept as the entry level worker" would be true.

2. Slope (Rate of Change):

   • The slope of a line represents the rate of change of earnings per hour. If the entry level worker’s earnings increase at the same rate as the lawyer's (same slope), then that statement would be true.
   • If the plumber's slope is steeper than the entry-level worker's, meaning the plumber earns more per additional hour worked, then "The plumber has a steeper rate of change than the entry level worker" would be true.

3. Comparative Higher Earnings Over Time:

   • If the plumber starts with higher initial earnings but the lawyer's line rises faster beyond a certain point, making the lawyer the higher earner as hours increase, then the statement about the plumber initially earning more but the lawyer earning more as time goes on would be true.

To check the truth of these statements:

• Look at the initial earnings (Y-intercepts) of each profession.
• Compare the slopes to determine who earns faster per hour worked.
• Determine the point at which one line may cross above another to analyze future earnings.

Please use this methodology to evaluate the statements based on the specific details presented in the graph. If you provide details or data from the graph, I can help you analyze the statements more objectively.