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# What is the unit rate in a proportional relationship how do you find the appropriate units?

Updated: 12/17/2022

Wiki User

11y ago

Suppose you want to find the unit rate in the relationship between two variables X and Y. Since this is a proportional relationship, then

Y = cX for some constant [conversion] factor c.

For example if you travel at a constant rate of 2 metres per second, your speed can be given as 20 metres in 10 seconds or 200 metres in 100 seconds etc. The UNIT rate is the value when the second variable is 1. So 2 metres per second. But, you could also consider 1 minute and the unit rate could be given as 120 metres per minute, or 7.2 kilometres per hour - or however many it is per year!

There are some standard unit rates: km per hour is more acceptable for a car but for mechanics or physics, you would probably want metre per second (since the two measures are basic SI units.

If not dependent on SI units for further calculations, you select the appropriate units so that the answers are not too small nor too large (so I would not do kilometres per year), or where they can be re-scaled so that 7,200 metres per hour was given as 7.2 km per hour.

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11y ago

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