average rate of change formula
f(b)-f(a)/b-a
The average rate of change formula is used to calculate the rate at which a quantity changes over a given interval of time or distance. It is expressed as the difference between the final and initial values of the quantity divided by the time or distance interval over which the change occurred.
The formula for average rate of change is:
Average Rate of Change = (Final Value – Initial Value) / (Final Time – Initial Time)
Or,
Average Rate of Change = (Final Output – Initial Output) / (Final Input – Initial Input)
Where:
– Final Value or Output: The ending value of the quantity or output.
– Initial Value or Output: The beginning value of the quantity or output.
– Final Time or Input: The ending time or distance.
– Initial Time or Input: The beginning time or distance.
By using this formula, you can determine the average rate at which a quantity changes over a specific period of time, or the average slope of a line over a given interval of x-values. This formula is commonly used in calculus, economics, physics, and other fields where rates of change are important.
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