Two quantities which vary together are said to have proportionality with each other. Proportionality between two
values is shown using the symbol: which means is proportional to. There are several types of proportionality.
- a b means a is directly proportional to b. This means as a changes so
does b. The connection involves a constant which can be seen as a = kb where k is the constant of
proportionality. When a and b are plotted on a graph it gives a straight line which passes through (0,0) and has
a gradient of k.
- a 1/b means a is inversely proportional to b. This
means as a increases b decreases. This connection involves a division which can be seen as a = k/b where k is
the constant of proportionality. When a and b are plotted on a graph it should give a reciprocal graph.
These are the basics of proportionality. There are many more types of proportionality and many topics connected to
it. You should do more in depth revision on this subject.