Question

jason has applied to be a camp counselor for the summer. the job pays \\$9 per hour. the equation to represent jasons job is \\(y = 9x\\), where \\(x\\) is the number of hours he works and \\(y\\) is the total amount he earns.

mia has applied to be a lifeguard for the summer. the lifeguard job is three days a week with hours and pay as shown in the table below.

\

$$\begin{tabular}{|l|c|c|c|} \\hline & tuesday & thursday & saturday \\\\ \\hline hours worked & 6 & 8 & 5 \\\\ \\hline amount paid & \\$52.50 & \\$70.00 & \\$43.75 \\\\ \\hline \\end{tabular}$$

which statement best describes the hourly rates?

• the two jobs pay the same hourly rate.
• the comparison cannot be made with the information given.
• jasons camp counselor job pays a higher hourly rate than mias lifeguard job.
• jasons camp counselor job pays a lower hourly rate than mias lifeguard job.

Explanation:

Identify Jason's hourly rate

Using the Proportional Relationship Equation knowledge point

$$
LATEXBLOCK0
$$

Calculate Mia's hourly rate

Using the Representing Proportional Relationships in Tables and Constant of Proportionality knowledge points

$$
LATEXBLOCK1
$$

Compare the hourly rates

We compare the two calculated unit rates to determine which job pays more.

• Jason's hourly rate: \(\$9.00\) per hour
• Mia's hourly rate: \(\$8.75\) per hour

Since \(\$9.00 > \$8.75\), Jason's camp counselor job pays a higher hourly rate than Mia's lifeguard job.

Answer:

• The two jobs pay the same hourly rate.
• The comparison cannot be made with the information given.
• Jason's camp counselor job pays a higher hourly rate than Mia's lifeguard job. (Correct answer)
• Jason's camp counselor job pays a lower hourly rate than Mia's lifeguard job.