Suppose Y is a variable which is dependent on another variable X. Then the units used for the rate of change in Y, with respect to X, will be the units of Y divided by the units of X.
For example, if x is the length of a side of a cube (in cm), and Y is its volume (in cm3), then the rate of change of Y, with respect to X, is measures in cm3/cm.
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Rate of change of speed. It can be the units for acceleration but need not be.
For a line, the rate of change is the slope of a function.Example:y = 5x + 10The slope is 5. Every time x moves 1"unit", y moves 5 "units".The rate of change would be stated as rise / run. 5 units / 1 unit = 5
the rate of change is related to the slope; the higher the slope, the higher the rate. If the line is vertical, that is infinite slope or infinite rate of change which is not possible
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
y is reduced by 3 units for every increase of 1 in x.