Given the proportional relationship representing the speed, Paul ran faster. The equation for Paul is, y = 7x (Option D).
What is the Equation of a Proportional Relationship?
Proportional relationship between two variables that has a constant rate or unit rate of m, is given as y = mx.
In a graph, the steeper the slope, the larger the constant rate or unit rate.
The graph for Paul is steeper than that of Melinda. Since Melinda's constant speed is 5, therefore, Paul's constant speed cannot be less than 5. It should be more than 5, i.e. 7.
This means that Paul ran at a faster constant speed than Melinda did.
Paul's equation for distance covered over time can be expressed as, y = 7x. (Option D).
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