It looks like you're trying to express a relationship between distance traveled and time, with some specifics provided in your notes. Let's clarify and relate the information accordingly:
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Distance Traveled: If 83 meters are traveled every minute, this means the distance \( y \) can be represented as a function of time \( x \) in minutes.
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Equation: The relationship can be expressed in the form: \[ y = 83x \] where:
- \( y \) is the distance traveled in meters,
- \( x \) is the time in minutes.
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Proportional Relationship: This relationship is indeed proportional, as it can be described by a linear function that passes through the origin (0, 0). In this case, the slope (83) represents the rate of change of distance with respect to time.
So the appropriate responses would be:
- The equation showing the relationship would be \( y = 83x \).
- The relationship is proportional because the y-intercept is \( (0, 0) \).
If you meant a different context with "y = 12x," please clarify, and I can adjust accordingly!
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