To create a function for Ari's yard service business, we can define the total charge \( T \) based on the number of hours \( h \) he works.
Ari's charges consist of:
- A flat rate of $10
- An additional $15 per hour
Thus, the function can be defined as:
\[ T(h) = 10 + 15h \]
Now, we can use this function to calculate the total charge for different values of \( h \) (the number of hours worked):
-
For \( h = 1 \): \[ T(1) = 10 + 15 \times 1 = 10 + 15 = 25 \]
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For \( h = 1.5 \): \[ T(1.5) = 10 + 15 \times 1.5 = 10 + 22.5 = 32.5 \]
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For \( h = 2 \): \[ T(2) = 10 + 15 \times 2 = 10 + 30 = 40 \]
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For \( h = 2.5 \): \[ T(2.5) = 10 + 15 \times 2.5 = 10 + 37.5 = 47.5 \]
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For \( h = 3 \): \[ T(3) = 10 + 15 \times 3 = 10 + 45 = 55 \]
Now we can summarize this information in a table:
| Hours (h) | Total Charge (T) | |-----------|------------------| | 1 | 25 | | 1.5 | 32.5 | | 2 | 40 | | 2.5 | 47.5 | | 3 | 55 |
Based on your provided response options, it appears that none of the points I calculated matches the options given.
However, the correct points based on my calculations are:
- (1, 25)
- (1.5, 32.5)
- (2, 40)
- (2.5, 47.5)
- (3, 55)
So, the correct response is: (1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55).