Page 3: Solutions and Detailed Calculations

This page provides comprehensive solutions to growth factor problems and demonstrates practical applications in various scenarios.

Example: A car's value depreciation is calculated using a 15% annual decrease, showing exponentielle abnahme beispiel.

Vocabulary: Growth factor (Wachstumsfaktor) - The multiplier used to calculate exponential growth or decay.

Highlight: Solutions demonstrate how to calculate complex growth scenarios including compound effects over multiple time periods.

Page 1: Growth Factors and Applications

This page introduces fundamental concepts of exponential growth and decay through practical exercises involving bacterial colonies and radioactive decay.

Definition: The growth factor (b) represents the multiplier that determines how a quantity changes over each time period in exponential growth or decay.

Example: For bacterial colonies, growth is calculated using initial quantities and multiplication factors, such as doubling or tripling per hour.

Highlight: Problems include calculating bacterial growth over various time periods and radioactive decay using half-life concepts.

Vocabulary: Half-life (Halbwertszeit) - The time required for a quantity to reduce to half its initial value.