Comparing Graphs and Equations Representing Proportional Relationships (Example)

The video tutorial explains how to determine the hourly earnings of two babysitters, Melanie and Sophia. Melanie's earnings are described by the equation y = 11x, indicating she earns $11 per hour. Sophia's earnings are represented on a graph, showing she earns $12 per hour. By comparing their rates, it is concluded that Sophia is the more expensive babysitter, earning $1 more per hour than Melanie.

What is the equation that describes Melanie's earnings from babysitting?

• y = 10x

• y = 11x

• y = 12x

• y = 13x

How much does Melanie earn if she babysits for three hours?

• $36

• $39

• $33

• $30

What is the hourly rate of Melanie's babysitting earnings?

• $10 per hour

• $12 per hour

• $11 per hour

• $13 per hour

According to the graph, how much does Sophia earn in two hours?

• $24

• $28

• $22

• $26

Who earns more per hour, Melanie or Sophia?

• Melanie

• Sophia

• Not enough information

• They earn the same