Explain: How can you represent proportional relationships? First decent answer (not one sentence, detailed) gets 20 points

There are many examples to choose from, but one of them is the idea of distance, speed, and time being linked together.

Let's say a car is going 60 miles per hour and it does not change its speed. If x is the time in hours, and y is the distance traveled, then we have the equation

y = 60x

which is due to the d = rt equation (distance = rate*time)

As x goes up, so does y. If x goes down, then y does too. The two variables move in the same direction together. This is one way to think of what it means to have a direct proportional relationship here. In contrast, an inverse proportional relationship would have x going down to make y go up, and vice versa.

Side note: the equation y = 60x is in the form y = kx with the constant of variation k = 60.

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step-by-step explanation: