Answer:
Her wages in a week, if she worked 48 hours, is;
[tex]\text{ \$}1,175.20[/tex]Explanation:
Given that Helen earns $22.60 per hour as a grocery clerk and She receives time-and-a-half pay for any hours she works over 40 in a week.
[tex]\begin{gathered} \text{rate = \$22.60/hour} \\ \text{Overtime rate = 1.5(\$22.60) /hour} \end{gathered}[/tex]Given that she worked 48 hours;
[tex]\begin{gathered} \text{normal time = 40 hours} \\ \text{Overtime = 48 - 40 = 8 hours} \end{gathered}[/tex]So, her wages in a week will then be;
[tex]\begin{gathered} T=\text{ \$22.60(40) + \$22.60(1.5)(8)} \\ T=\text{ \$904 + \$271.20} \\ T=\text{ \$}1,175.20 \end{gathered}[/tex]Therefore, her wages in a week, if she worked 48 hours, is;
[tex]\text{ \$}1,175.20[/tex]