Answer:When two things are proportional, they always change together at the same rate. This relationship can be represented by an equation like y = kx, where k is a constant number that shows how the two things are related.
Explanation:
Two quantities are proportional if they always change at the same rate. For example, if you travel at a constant speed, your distance is proportional to your time. If you double your time, you double your distance.
We can represent proportional relationships with an equation of the form y = kx, where y is one quantity, x is the other quantity, and k is a constant of proportionality.
The constant of proportionality k represents the factor by which one quantity changes for a given change in the other quantity. For example, if your speed is 60 mph when you travel 10 miles, the constant of proportionality is 6, which means your speed increases by 6 mph for each additional mile you travel.
To find the constant of proportionality k, you can divide any value of y by the corresponding value of x. For example, if you know that when x = 2, y = 8, then k = y/x = 8/2 = 4.
The equation y = kx can be used to predict one quantity if you know the other quantity. For example, if you know that y = 24 when x = 6, you can use the equation to find k = y/x = 24/6 = 4, and then predict that y = kx = 4*8 = 32 when x = 8.