To determine if \( x \) (time in minutes) and \( y \) (words typed) have a proportional relationship, we need to check if the ratio \( \frac{y}{x} \) is constant for all pairs of \( x \) and \( y \).
Let's calculate the ratios for each pair:
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For \( x = 3 \) and \( y = 198 \): \[ \frac{y}{x} = \frac{198}{3} = 66 \]
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For \( x = 4 \) and \( y = 264 \): \[ \frac{y}{x} = \frac{264}{4} = 66 \]
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For \( x = 8 \) and \( y = 528 \): \[ \frac{y}{x} = \frac{528}{8} = 66 \]
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For \( x = 9 \) and \( y = 594 \): \[ \frac{y}{x} = \frac{594}{9} = 66 \]
Since the ratio \( \frac{y}{x} \) is constant at 66 for all pairs, we can conclude that \( x \) and \( y \) do have a proportional relationship.
Answer: Yes
The constant of proportionality is:
Answer: 66