Linear Growth

Linear Growth Definition

Linear growth describes a quantity that increases in a manner directly proportional to another variable, resulting in a relationship that approximates a straight line when plotted on a graph. This type of progression signifies a constant rate of change, where the increase is achieved by adding the same fixed amount over equal intervals.

Contrast with Exponential Growth

Linear growth is typically contrasted with exponential growth. While linear change involves adding a constant amount each time, exponential growth involves multiplying by a constant factor, leading to increasingly larger increments over time. For instance, if one measures cash accumulation by adding the same sum weekly (linear), the resulting graph forms a straight line. Conversely, if income increases through a fixed percentage pay rise annually (exponential), the total increase accelerates, producing a smooth upward curve rather than a straight line.

Arithmetic and Geometric Growth

The distinction between these two types of growth is often conceptualised using the terms arithmetic and geometric progression. Linear growth corresponds to arithmetic change, which involves adding the same amount consistently. Exponential growth corresponds to geometric change, which involves multiplying by the same factor repeatedly.