Cooper and Anderson work for a construction crew. The equation

represents Cooper's total wages, in dollars, for
hours worked. Anderson's total wages,
, for
hours worked are represented by the graph below.

Part A
Based on the graph, what is Anderson's hourly wage rate, in dollars per hour?

$10 per hour
$15 per hour
$22.50 per hour
$30 per hour

Part B
How does Cooper's hourly wage rate compare to Anderson's?

Cooper earns $3.25 less per hour than Anderson.
Cooper earns $8.25 less per hour than Anderson.
Cooper earns $3.25 more per hour than Anderson.
Cooper earns $8.25 more per hour than Anderson.

1 answer

To answer the questions about Cooper and Anderson's wages, we'll need to determine the information based on the available graph and the equation representing Cooper's wages.

Part A

To find Anderson's hourly wage, you typically look at the slope of the line on the graph (assuming the graph shows a linear relationship). The slope represents the wage per hour.

  • If you can't see the graph but it indicates the total wage for a certain number of hours, say h, we can also imply Anderson's hourly rate by taking two points from the graph. For example, if the graph states:
    • At 0 hours, total wages = $0
    • At 2 hours, total wages = $30

The hourly wage = Total wages / Hours worked = $30 / 2 hours = $15 per hour.

Based on the options you provided:

  • $10 per hour
  • $15 per hour
  • $22.50 per hour
  • $30 per hour

If the example matches the graph information (with an example resulting in $15). If the values or the graph suggest a different value, please apply that information here.

Part B

To compare Cooper’s hourly wage rate to Anderson's:

  1. You would need Cooper's wage equation, which let's assume is something like \( C(h) = 10h + 3.25 \) for example purposes, indicating that Cooper earns $10 per hour plus $3.25 as an adjustment.

  2. If we found Anderson's hourly wage from Part A to be $15 per hour, we can directly compare them.

  • If Cooper's hourly wage is $10, Then the answer would be: Cooper earns $5 less per hour than Anderson.
  • If Cooper's hourly wage were $11.75, then Cooper earns $3.25 less per hour than Anderson.

So, based on the calculations you carry out, please match them to the options presented:

  • Cooper earns $3.25 less per hour than Anderson.
  • Cooper earns $8.25 less per hour than Anderson.
  • Cooper earns $3.25 more per hour than Anderson.
  • Cooper earns $8.25 more per hour than Anderson.

Conclusive Answers:

To accurately answer Parts A and B, please refer to the specific numbers on the graph relating to Anderson's wages and the equation given for Cooper.