10.

Question

According to the graph, which of these statements is/are true? Check all that apply.
The Graph basically shows a line going straight down to the left and 5 lines on that line going across and on the first line going across it shows the number 20000
and on the second line going across it shows 150000 and the third line going across 10000 and the fourth line going across 50000 and the last 0 and it says on the right side of the graph Bill Gates: $451/hr, Lawyer: $300/hr, Plumber: $60/hr, Entry Level: $6/hr
(2 points)
Responses

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 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 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

Answer 1

Based on the description of the graph, we can analyze the statements as follows:

1. The plumber has a steeper rate of change than the entry level worker.

   • True: The plumber earns $60/hr and the entry-level worker earns $6/hr. The plumber's rate of pay is significantly higher than that of the entry-level worker, resulting in a steeper slope.

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

   • False: The lawyer earns $300/hr and the entry-level worker earns $6/hr. Their rates of pay are very different, leading to different slopes.

3. The plumber initially earns more money than the lawyer, but the lawyer earns more as more hours are worked.

   • False: The plumber’s hourly rate ($60/hr) is less than the lawyer’s hourly rate ($300/hr), meaning the lawyer earns more than the plumber right from the start.

4. The lawyer has a greater initial amount of earnings than the plumber.

   • True: The lawyer's hourly rate is higher than the plumber's hourly rate, so the lawyer has greater earnings at any given time.

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

   • False: The y-intercept typically represents the initial earnings at hour 0. Bill Gates’ hourly rate ($451/hr) is much higher than that of the entry-level worker ($6/hr), suggesting that they would not have the same y-intercept unless indicated otherwise.

Based on this analysis, the true statements are the first and fourth ones:

• The plumber has a steeper rate of change than the entry level worker.
• The lawyer has a greater initial amount of earnings than the plumber.