average rate of change formula
f(x+h)-f(x)/h
The average rate of change formula calculates the amount of change in one variable with respect to another variable over a specific period of time. The formula can be expressed as:
Average Rate of Change = (y₂ – y₁) / (x₂ – x₁)
Where,
y₂ = ending value of the dependent variable
y₁ = starting value of the dependent variable
x₂ = ending value of the independent variable
x₁ = starting value of the independent variable
For example, if a car traveled 100 miles in 2 hours, we can find the average rate of change of its speed as follows:
Average Rate of Change = (100 miles – 0 miles) / (2 hours – 0 hours)
= 50 miles per hour
This means that the car traveled on average 50 miles per hour during the 2-hour period.
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