Absolutely, let's break down the situation step by step to understand the differences in earnings based on the two payment methods you mentioned.
### Step-by-Step Solution:
1. Understanding the Provided Information:
- You earn [tex]$1115 per week plus a 9.5% commission.
- Alternatively, you could earn $[/tex]450 per week without any commission.
2. Calculate the Expected Commission:
- First, find out the commission based on the weekly salary.
- Commission Rate: 9.5%
- Weekly Salary with Commission: [tex]$1115
- To find the commission amount, you multiply the commission rate by the weekly salary:
\[
\text{Commission Amount} = 1115 \times 0.095 = 105.925
\]
3. Calculate Total Earnings with Commission:
- After calculating the commission, add it to the base weekly salary of $[/tex]1115 to get the total earnings with commission:
[tex]\[
\text{Total Earnings with Commission} = 1115 + 105.925 = 1220.925
\][/tex]
4. Find the Difference Between the Two Payment Methods:
- Compare the total earnings with commission to the fixed weekly salary without commission ([tex]$450):
\[
\text{Difference} = 1220.925 - 450 = 770.925
\]
### Final Result:
- The expected commission amount is $[/tex]105.925.
- The total earnings with the commission included are [tex]$1220.925.
- The difference between the two payment methods is $[/tex]770.925.
So, based on the weekly salary plus commission compared to the fixed weekly salary, you would earn $770.925 more per week with the commission-based payment method.
