To determine how much Jay earns during an 8-hour shift in which she sells [tex]$380 worth of jewelry, we need to consider her hourly wage and her commission.
Step-by-Step Solution:
1. Calculate the earnings from the hourly wage:
- Jay earns $[/tex]9 per hour.
- She works for 8 hours.
- Her earnings from the hourly wage can be calculated as:
[tex]\[
\text{Earnings from hourly wage} = \text{Hourly wage} \times \text{Hours worked}
\][/tex]
[tex]\[
\text{Earnings from hourly wage} = 9 \times 8 = 72
\][/tex]
So, Jay earns [tex]$72 from her hourly wage.
2. Calculate the commission earned:
- Jay earns a 12.5% commission on her sales.
- She sells $[/tex]380 worth of jewelry.
- Her commission can be calculated as:
[tex]\[
\text{Commission} = \text{Sales amount} \times \text{Commission rate}
\][/tex]
[tex]\[
\text{Commission} = 380 \times 0.125 = 47.5
\][/tex]
So, Jay earns [tex]$47.50 as commission from her sales.
3. Calculate the total earnings:
- Total earnings are the sum of earnings from the hourly wage and the commission:
\[
\text{Total earnings} = \text{Earnings from hourly wage} + \text{Commission}
\]
\[
\text{Total earnings} = 72 + 47.5 = 119.5
\]
So, Jay's total earnings for the shift are $[/tex]119.50.
Conclusion:
Jay earns [tex]$119.50 on an 8-hour shift in which she sells $[/tex]380 worth of jewelry.
Thus, the correct answer is:
[tex]\[ \boxed{119.50} \][/tex]
