To create a function for Ari's yard service business, we can use the following formula for his earnings:
\[ \text{Earnings} = \text{Flat Rate} + (\text{Hourly Rate} \times \text{Number of Hours}) \]
Given the flat rate is $10 and the hourly rate is $15, we can substitute these values into the formula:
\[ \text{Earnings}(h) = 10 + 15h \]
Where \( h \) is the number of hours worked.
Now, let's calculate Ari's earnings for 1, 1.5, 2, 2.5, and 3 hours:
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For \( h = 1 \): \[ \text{Earnings}(1) = 10 + 15(1) = 25 \]
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For \( h = 1.5 \): \[ \text{Earnings}(1.5) = 10 + 15(1.5) = 10 + 22.5 = 32.5 \]
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For \( h = 2 \): \[ \text{Earnings}(2) = 10 + 15(2) = 10 + 30 = 40 \]
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For \( h = 2.5 \): \[ \text{Earnings}(2.5) = 10 + 15(2.5) = 10 + 37.5 = 47.5 \]
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For \( h = 3 \): \[ \text{Earnings}(3) = 10 + 15(3) = 10 + 45 = 55 \]
Now, we can present this in a table format as follows:
| Hours (h) | Earnings | |-----------|----------| | 1 | 25 | | 1.5 | 32.5 | | 2 | 40 | | 2.5 | 47.5 | | 3 | 55 |
Based on this information, the closest option to our calculations is:
- (1,25), (1.5,32.5), (2,40), (2.5,47.5), (3,55)
Thus, the correct answer is: (1,25), (1.5,32.5), (2,40), (2.5,47.5), (3,55).