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Jonathan makes [tex]$\$[/tex]27[tex]$ per hour and works 25 hours per week. Every week, he has to sell 20 items. If he sells more than 20 items in a week, he receives a commission of $[/tex]14\%[tex]$ on each set of additional 5 items he sells. This week, he worked for 25 hours, sold 25 items, and made $[/tex]\[tex]$1,000$[/tex] in sales beyond the required 20 items. Which equation will help Jonathan compute this week's income?

A. [tex]$y = (25 \times \$[/tex]27) + (14 \times \[tex]$1,000)$[/tex]

B. [tex]$y = (\$[/tex]27 \times 25) + (0.014 \times \[tex]$1,000)$[/tex]

C. [tex]$y = (\$[/tex]27 \times 25) + (0.14 \times \[tex]$1,000)$[/tex]

D. [tex]$y = (25 \times 14) + (\$[/tex]27 \times \[tex]$1,000)$[/tex]

Sagot :

GinnyAnsweridn
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]
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