use proportional relationships unit test which of the following represents a proportional relationship

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To determine which of the given options represents a proportional relationship, we look for characteristics of proportional relationships. A proportional relationship is one where two quantities have a constant ratio. This can be expressed mathematically as \( y = kx \), where \( k \) is a constant and \( x \) and \( y \) are the two quantities.

Here are criteria to identify a proportional relationship:

1. **Constant Ratio:** The ratio \( \frac{y}{x} \) must be constant for all pairs of \( (x, y) \).
2. **Graph Representation:** When graphed, a proportional relationship will produce a straight line that passes through the origin (0, 0).
3. **Equation Form:** It can often be expressed in the form \( y = kx \) where \( k \) is the constant of proportionality.

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