Final answer:
The constant of proportionality, represented by k, is found by dividing y by x. In this case, k = 3/46.50, which simplifies to approximately 0.0645.
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional variables. If you are given that y=3 when x=46.50, you can find the constant of proportionality by dividing y by x, which gives you k = y/x. In this case, the constant of proportionality k would be 3/46.50, which simplifies to approximately 0.0645. When two quantities are directly proportional, the relationship is represented as y = kx, where k is the proportionality constant. If you plot these variables on a graph, you will get a straight line that passes through the origin.