Linear Growth
Constant rate increase.
What does Linear Growth mean?
Linear growth describes a pattern where a quantity increases (or decreases) by the same fixed amount in every time period. Unlike exponential growth, which accelerates over time, linear growth produces a straight line on a graph. It is one of the simplest and most intuitive growth models — commonly seen in fixed salary raises, steady production output, consistent savings contributions, and uniform depreciation schedules.
How to calculate Linear Growth
The formula is: Final Value = Initial Value + (Rate per Period × Number of Periods). Total Growth equals Rate per Period × Number of Periods, and Percent Growth = (Total Growth / Initial Value) × 100. For example, if you start with 1,000 and add 50 every month for 12 months, the final value is 1,000 + (50 × 12) = 1,600, total growth is 600, and percent growth is 60%.
FAQ
Linear growth adds a constant amount each period (e.g., +50 per month), producing a straight line. Exponential growth multiplies by a constant factor each period (e.g., ×1.05 per month), producing a curve that accelerates over time. For short time horizons the two can look similar, but exponential growth vastly outpaces linear growth over long periods.
Linear growth is a good model whenever a fixed amount is added or removed each period. Common examples include fixed monthly savings deposits, straight-line asset depreciation, hourly wage accumulation, and consistent production quotas.
Yes. A negative rate per period models linear decline — the value decreases by a fixed amount each period. This is useful for modeling depreciation, resource depletion, or any scenario with a steady loss.
If you know the growth per smaller period (e.g., monthly), multiply by the number of those periods in a year. For example, adding 50 per month gives 50 × 12 = 600 per year. The annual percent growth is then (600 / Initial Value) × 100.
Absolute growth tells you the raw amount gained, while percent growth normalizes it against the starting value. Adding 600 to a base of 1,000 (60%) is far more impactful than adding 600 to a base of 100,000 (0.6%). Percent growth makes it easy to compare across different scales.
Related calculators
- Exponential Growth— Growth proportional to size.
- Percentage Change— Relative increase or decrease.
- Compound Interest— Growth of money with reinvested interest.
- CAGR— Average annual growth rate.