Erin earns [tex][tex]$\$[/tex] 7.50$[/tex] for each hour she works. Rita earns [tex]$\$ 9.00$[/tex] for each hour she works. The table shows the amounts that Erin and Rita earn for working 1 to 6 hours.

\begin{tabular}{|c|c|c|}
\hline Hours & Erin & Rita \\
\hline 1 & [tex][tex]$\$[/tex] 7.50$[/tex] & [tex]$\$ 9.00$[/tex] \\
\hline 2 & [tex][tex]$\$[/tex] 15.00$[/tex] & [tex]$\$ 18.00$[/tex] \\
\hline 3 & [tex][tex]$\$[/tex] 22.50$[/tex] & [tex]$\$ 27.00$[/tex] \\
\hline 4 & [tex][tex]$\$[/tex] 30.00$[/tex] & [tex]$\$ 36.00$[/tex] \\
\hline 5 & [tex][tex]$\$[/tex] 37.50$[/tex] & [tex]$\$ 45.00$[/tex] \\
\hline 6 & [tex][tex]$\$[/tex] 45.00$[/tex] & [tex]$\$ 54.00$[/tex] \\
\hline
\end{tabular}

How will their total earnings compare for a 40-hour workweek?

A. Rita will earn [tex][tex]$\$[/tex] 60$[/tex] more than Erin.
B. Erin will earn [tex]$\[tex]$ 60$[/tex][/tex] more than Rita.
C. Rita will earn [tex]$\$ 1,000$[/tex] more than Erin.
D. Erin will earn [tex]$\[tex]$ 100$[/tex][/tex] more than Rita.



Answer :

Let's go through the problem step by step to understand the total earnings for Erin and Rita over a 40-hour workweek, and then determine how their earnings compare.

1. Determine Erin's hourly rate and total earnings for 40 hours:
- Erin's hourly rate is \[tex]$7.50. - For a 40-hour workweek: \[ \text{Erin's total earnings} = 7.50 \times 40 = \$[/tex]300.00
\]

2. Determine Rita's hourly rate and total earnings for 40 hours:
- Rita's hourly rate is \[tex]$9.00. - For a 40-hour workweek: \[ \text{Rita's total earnings} = 9.00 \times 40 = \$[/tex]360.00
\]

3. Calculate the difference in their total earnings:
- The difference between Rita's and Erin's total earnings:
[tex]\[ \text{Difference} = 360.00 - 300.00 = \$60.00 \][/tex]
- Since Rita earns more, the result indicates that Rita will earn [tex]$60 more than Erin. Based on this comparison, the correct answer is: (A) Rita will earn \$[/tex]60 more than Erin.