Graphing Linear Equations Unit Test

Question

8 of 158 of 15 Items

Question
Use the image to answer the question.

An illustration shows two graphs depicting earnings per hour for employees 1 and 2. The first graph shows earnings per hour for employee 1. The horizontal axis shows hours ranging from 0 to 8 in increments of 2. The vertical axis shows earnings in dollars ranging from 0 to 80 in increments of 5. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 25 right parenthesis, left parenthesis 4 comma 50 right parenthesis, and left parenthesis 6 comma 75 right parenthesis. A line connects all the data points. The second graph shows earnings per hour for employee 2. The horizontal axis shows hours ranging from 0 to 6 in increments of 1. The vertical axis shows earnings in dollars ranging from 0 to 80 in increments of 5. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 15 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis. A line connects all the data points.

The earnings for Employee 1 and Employee 2 are displayed in the following graphs. Which employee earns more per hour?

(1 point)
Employee
earns more per hour.

Answer 1

To determine which employee earns more per hour, we can look at the slopes of the lines represented in the graphs.

For Employee 1:

• The data points are (0, 0), (2, 25), (4, 50), and (6, 75).
• The earnings per hour can be calculated as follows:
  • From (0, 0) to (2, 25): this is 25 dollars over 2 hours, so the earning per hour is 25/2 = 12.5.
  • From (2, 25) to (4, 50): this is another 25 dollars over 2 hours, so again it's 25/2 = 12.5.
  • From (4, 50) to (6, 75): similarly, this is another 25 dollars over 2 hours, so 25/2 = 12.5.

Thus, Employee 1 earns $12.50 per hour.

For Employee 2:

• The data points are (0, 0), (1, 15), (3, 45), and (5, 75).
• The earnings per hour can be calculated as follows:
  • From (0, 0) to (1, 15): this is 15 dollars over 1 hour, so the earning per hour is 15/1 = 15.
  • From (1, 15) to (3, 45): this is 30 dollars over 2 hours, so the earning per hour is 30/2 = 15.
  • From (3, 45) to (5, 75): again, this is another 30 dollars over 2 hours, so 30/2 = 15.

Thus, Employee 2 earns $15.00 per hour.

Comparing the two:

• Employee 1: $12.50 per hour
• Employee 2: $15.00 per hour

Therefore, Employee 2 earns more per hour.