To calculate how much Ari will make for his yard service business, we need to create a function based on his pricing. Ari charges a flat rate of $10 plus $15 for each hour he works.
The function for the total charge \( C \) based on the number of hours \( h \) he works can be expressed as:
\[ C(h) = 10 + 15h \]
Next, let's calculate the total amount he will make for the specified hours (1, 1.5, 2, 2.5, and 3) and create a table.
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For \( h = 1 \): \[ C(1) = 10 + 15 \times 1 = 10 + 15 = 25 \]
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For \( h = 1.5 \): \[ C(1.5) = 10 + 15 \times 1.5 = 10 + 22.5 = 32.5 \]
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For \( h = 2 \): \[ C(2) = 10 + 15 \times 2 = 10 + 30 = 40 \]
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For \( h = 2.5 \): \[ C(2.5) = 10 + 15 \times 2.5 = 10 + 37.5 = 47.5 \]
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For \( h = 3 \): \[ C(3) = 10 + 15 \times 3 = 10 + 45 = 55 \]
Now, let's organize this information in a table:
| Hours Worked (h) | Total Charge (C) | |-------------------|------------------| | 1 | 25 | | 1.5 | 32.5 | | 2 | 40 | | 2.5 | 47.5 | | 3 | 55 |
Based on the options provided, none perfectly match the correct output. The correct points based on our calculations are:
- \( (1, 25) \)
- \( (1.5, 32.5) \)
- \( (2, 40) \)
- \( (2.5, 47.5) \)
- \( (3, 55) \)
Thus the corresponding answer is:
- \( (1, 25) \)
- \( (1.5, 32.5) \)
- \( (2, 40) \)
- \( (2.5, 47.5) \)
- \( (3, 55) \)
0 answers