Exponential models

Math

Definition

Exponential models use equations of the form y = abˣ or y = ae^(kx) to represent real-world situations involving constant percentage change. They are used when data grows or shrinks by a fixed ratio over equal intervals.

Examples

  • Modeling compound interest: A = P(1 + r/n)^(nt)
  • Predicting population growth of a city growing at 3% per year
  • Modeling the cooling of a hot drink using Newton's law of cooling

Related Terms

Exponential growth and decay Solving exponential equations Natural log Logarithm properties

Study This Concept

Practice exponential models with free review games in these units:

AP Calculus AB Unit 7: Differential Equations Pre-Calculus Unit 3: Exponential and Logarithmic Functions