average rate of change
The slope of the line through (a, f(a)) and (b, b(a)) fo a function y = f(x) between x=a and x=b
The average rate of change is a mathematical concept that measures how much a quantity changes on average over a period of time. It is calculated by dividing the change in the quantity over the period of time by the length of the time period.
For example, suppose that the temperature went up by 10 degrees over a period of 5 hours. Then, the average rate of change of the temperature can be calculated by dividing the change in temperature (10 degrees) by the time period (5 hours):
average rate of change = (change in temperature) / (time period) = 10 degrees / 5 hours = 2 degrees per hour
This means that on average, the temperature increased by 2 degrees for every hour of the 5-hour period.
The concept of average rate of change is used in many fields, including physics, engineering, and finance, to analyze the behavior of phenomena that change over time.
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