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Sagot :
Let's break down the problem step-by-step to identify the correct equation for calculating Jonathan's weekly income.
1. Regular Hourly Earnings:
- Jonathan earns [tex]$27 per hour. - He works 25 hours in a week. - To find his weekly earnings from regular hours, calculate: \[ \text{Weekly Earnings} = 27 \times 25 \] 2. Commission Earnings: - Jonathan receives a commission rate of 14% on extra sales. - This week, he made $[/tex]1,000 in sales beyond the required 20 items.
- To find his commission earnings, calculate:
[tex]\[ \text{Commission Earned} = 0.14 \times 1000 \][/tex]
3. Total Weekly Income:
- To find his total weekly income, add his weekly earnings from regular hours and the commission earned:
[tex]\[ y = (\text{Weekly Earnings}) + (\text{Commission Earned}) \][/tex]
Using the values calculated above, we plug them back into our formula:
[tex]\[ y = (27 \times 25) + (0.14 \times 1000) \][/tex]
So, the correct equation for calculating Jonathan's weekly income is:
[tex]\[ \boxed{y=(\$ 27 \times 25)+(0.14 \times \$ 1,000)} \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{\text{Option C}} \][/tex]
1. Regular Hourly Earnings:
- Jonathan earns [tex]$27 per hour. - He works 25 hours in a week. - To find his weekly earnings from regular hours, calculate: \[ \text{Weekly Earnings} = 27 \times 25 \] 2. Commission Earnings: - Jonathan receives a commission rate of 14% on extra sales. - This week, he made $[/tex]1,000 in sales beyond the required 20 items.
- To find his commission earnings, calculate:
[tex]\[ \text{Commission Earned} = 0.14 \times 1000 \][/tex]
3. Total Weekly Income:
- To find his total weekly income, add his weekly earnings from regular hours and the commission earned:
[tex]\[ y = (\text{Weekly Earnings}) + (\text{Commission Earned}) \][/tex]
Using the values calculated above, we plug them back into our formula:
[tex]\[ y = (27 \times 25) + (0.14 \times 1000) \][/tex]
So, the correct equation for calculating Jonathan's weekly income is:
[tex]\[ \boxed{y=(\$ 27 \times 25)+(0.14 \times \$ 1,000)} \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{\text{Option C}} \][/tex]
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