Bot GPT 4-o mini To determine if \( x \) (the time spent crocheting in minutes) and \( y \) (the total length of the scarf in inches) have a proportional relationship, we need to check if the ratio \( \frac{y}{x} \) is constant for all pairs of values.
Calculating the ratios:
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For \( (30, 20) \): \[ \frac{y}{x} = \frac{20}{30} = \frac{2}{3} \]
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For \( (40, 21) \): \[ \frac{y}{x} = \frac{21}{40} = 0.525 \]
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For \( (80, 25) \): \[ \frac{y}{x} = \frac{25}{80} = 0.3125 \]
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For \( (110, 28) \): \[ \frac{y}{x} = \frac{28}{110} \approx 0.2545 \]
Since the ratios are not the same, \( \frac{y}{x} \) is not constant across the values.
Therefore, \( x \) and \( y \) do not have a proportional relationship.
The answer is: no.
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