If f(t) is some function of t (time), then the rate of change, with respect to time, is represented by f'(t). This is equal to the limit, as dt tends to zero, of {f(t+dt)-f(t)}/dt : if the limit exists.
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Rate of change = amount of change in some period of time/amount of time for the change
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=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.
An equations doesn't have a rate of change, but this equation tells you that ' C ' changes 3 times as fast as ' h ' does.