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