To find the y-values of the ordered pairs for the equation \( y = 5x \), we can simply substitute the x-values into the equation.
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For the pair (0, y): \[ y = 5(0) = 0 \quad \text{so the pair is } (0, 0) \]
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For the pair (1, y): \[ y = 5(1) = 5 \quad \text{so the pair is } (1, 5) \]
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For the pair (2, y): \[ y = 5(2) = 10 \quad \text{so the pair is } (2, 10) \]
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For the pair (3, y): \[ y = 5(3) = 15 \quad \text{so the pair is } (3, 15) \]
Now let's check the ordered pairs provided in the responses:
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(0, 0), (5, 1), (10, 2)
- This is incorrect since \( y = 5x \).
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(0, 0), (1, 15), (2, 25)
- This is incorrect since \( y = 5x \).
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(0, 0), (1, 5), (2, 10)
- This is correct as it follows \( y = 5x \).
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(0, 0), (1, 5), (3, 15)
- This is also correct as it follows \( y = 5x \).
Thus, the correct options considering the computation are:
- (0, 0), (1, 5), (2, 10)
- (0, 0), (1, 5), (3, 15)
Both of these pairs contain correct calculations based on the equation \( y = 5x \).