To determine how much Ari will make for different hours of work, we can create a function that calculates his earnings based on the number of hours he works.
Ari charges a flat rate of $10 plus an additional $15 per hour. The function can be defined as follows:
\[ E(h) = 10 + 15h \]
Where:
- \( E(h) \) is the total earnings for \( h \) hours worked.
- \( 10 \) is the flat fee he charges.
- \( 15h \) represents the additional charge for \( h \) hours worked.
Now we can calculate his earnings for the specified hours (1, 1.5, 2, 2.5, and 3):
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For 1 hour: \[ E(1) = 10 + 15 \cdot 1 = 10 + 15 = 25 \]
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For 1.5 hours: \[ E(1.5) = 10 + 15 \cdot 1.5 = 10 + 22.5 = 32.5 \]
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For 2 hours: \[ E(2) = 10 + 15 \cdot 2 = 10 + 30 = 40 \]
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For 2.5 hours: \[ E(2.5) = 10 + 15 \cdot 2.5 = 10 + 37.5 = 47.5 \]
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For 3 hours: \[ E(3) = 10 + 15 \cdot 3 = 10 + 45 = 55 \]
Now we can present this data in a table format:
| Hours Worked (h) | Earnings (E(h)) | |-------------------|------------------| | 1 | 25 | | 1.5 | 32.5 | | 2 | 40 | | 2.5 | 47.5 | | 3 | 55 |
Thus, the correct response considering Ari's charges is:
- \( (1, 25) \)
- \( (1.5, 32.5) \)
- \( (2, 40) \)
- \( (2.5, 47.5) \)
- \( (3, 55) \)
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