Answer:
Do you have a friend that can affect your mood? Whenever she's up, you're up. When she's down, you're down. A proportional relationship between quantities is a lot like that. For example, imagine a beehive that has a lot of bees in it. Each of those bees has six legs. If I take away half the bees, there will only be half as many legs left in the hive as well. There is a proportional relationship between the number of bees and the number of bee legs in that hive.
A proportional relationship exists between two values x and y when they can be expressed in the general form y = kx, where k is the constant of proportionality.
Our beehive example could be represented by y = 6x, where x is the number of bees, y is the number of legs, and k is 6 (since each bee has 6 legs). If I double x, then y will also double, and if I divide y by x, then y/x should always be 6.
Another way to say that is if two values are proportional, then dividing them by each other will always produce the same ratio. This ratio will be the constant k, which can be expressed as a fraction or a decimal.
Explanation:
I hope this helps :)!
