Math

Exponential models.

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

Real-world.

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

Tangled up with.

Exponential growth and decay → Solving exponential equations → Natural log → Logarithm properties →
Studied in

2 units use this concept.

AP Calculus AB Differential Equations → Pre-Calculus Exponential and Logarithmic Functions →