In equations, the constant rate of change can be seen as the slope. For example, in a linear function where {eq}f (x) = 2x - 4 {/eq}, the slope is 2, which can also be written as {eq}2/1 {/eq}. Therefore, the graph is increasing at a rate of 2 over 1 where the change between the y-values is 2 and the change between the x-values is 1.
A rate of change is a ratio of the change of dependent values or outputs to the change of independent values or inputs. The change is also referred to as the slope of the function and describes how values change between two points on a coordinate plane.
A rate of change is the ratio between the change in one quantity to the change in another quantity. Linear relationships have a constant rate of change. The tile pattern below is growing by three tiles per figure.