Useful Ratios cant’ have variables, they need to be defined fractions
Ex:
4 workers and m managers give you a ratio of 4/m workers to managers. Value will change pending m.
5m workers and m managers give you a ratio of 5/1 workers to managers. This is helpful because the ratio won’t change.
Direct Proportions/Variations
If y varies directly (or is directly proportional) with x, y=kx
If y varies directly (or is directly proportional) with x^2, y=kx^2
Indirect Proportions/Variations
If y varies indirectly with x, yx=k or y=k/x
Combined Variation
If y varies directly with x and varies indirectly with z, then yz=kx