Average Rate of Change
The change in the value of a quantity divided by the elapsed time. Uses slope formula (y2-y1/x2-x1)
The average rate of change is a mathematical concept used to describe how a variable changes over a given span of time or distance. It is calculated by dividing the change in the variable by the time or distance over which the change takes place.
For example, if the height of a ball changes from 10 feet to 20 feet in 5 seconds, the average rate of change of the ball’s height would be (20-10)/5 or 2 feet per second. This means that the ball is increasing in height by an average of 2 feet per second over the 5-second period.
In general, the formula for calculating the average rate of change is:
Average Rate of Change = (Change in Variable) / (Time or Distance)
The average rate of change is an important concept in calculus and is used to calculate the slope of a tangent line to a curve at a specific point. It is also used in physics to calculate velocity and acceleration, and in economics to calculate growth rates and inflation.
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