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The Greek letter Δ (Delta) is commonly used to represent a difference. This leads to an alternative way of writing the formula for ROC.
Rate of Change=ΔxΔy
The units of a rate of change are the ratio of output units to the input units, meaning that they are derived units. Interpreting the rate of change depends on the context.
Output Units | Input Units | Rate of Change Units | Possible Interpretation |
---|---|---|---|
meters | seconds | secondmeters | Car speed over a certain period of time |
bacteria | hours | hourbacteria | Growth rate of bacteria in an experiment |
U.S. dollars | hours | hourU.S. dollars | Worker's hourly wage |