The rate of change is a measure of how a quantity changes over time. It is the ratio of the change in the value of a variable to the change in time. It is also known as the derivative in calculus.
Rate of change is used in integral applications to find the total change or accumulation of a quantity over a certain period of time. This is done by taking the integral of the rate of change function over the given time interval.
The rate of change is directly related to the slope of a line. The slope of a line is the rate of change of the line. In other words, the slope is the rate at which the dependent variable changes with respect to the independent variable.
Rate of change can be represented graphically by plotting the dependent variable on the y-axis and the independent variable on the x-axis. The slope of the line connecting any two points on the graph represents the rate of change between those two points.
Rate of change has many real-life applications, such as calculating the speed of an object, determining the growth rate of a population, or finding the rate at which a chemical reaction occurs. It is also used in economics to analyze changes in supply and demand, and in physics to study changes in position, velocity, and acceleration.