How are rates calculated?

1 Answer
May 8, 2016

Rates are calculating by dividing mathematically two quantities.


Mathematically speaking, any rate will respect the formula:

#rate=(Deltax)/(Deltay)#, where #x# and #y# are arbitrary variables, generally uncorrelated, e.g space and time.

In a more advanced notation, using calculus:

#rate=(dx)/(dy)=x'#, which means the derivative of #x#.

So, to calculate a rate, you must have two values changing, you fix a time, or any equivalent measure, and calculate their changes, then divide them. Your rate will tell you how the numerator variable changes with the denominator variable.

Examples are: velocity - how space changes with time; acceleration - how the velocity changes with time. See that most rates, not necessary mandatory, will be something with respect time.

Rate as derivative

Some rates

See for more: Rate (mathematics)