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?

How much does Melanie earn for three hours of babysitting?

What ratio do we get when comparing dollars earned to hours spent babysitting for Melanie?

What is the rate of change for Sophia's earnings based on the graph?

Compare the hourly rates of Melanie and Sophia. Who is more expensive?