Compound Interest: Writing Function Models

① This example demonstrates how to interactively construct a compound interest growth function model by adjusting parameters and observing the resulting graph and numerical outputs. ② Core mathematical concepts include the compound interest formula A=P(1+r/n)^(nt), exponential functions, the influence of variable parameters on function graphs, and the process of mathematical modeling. ③ Construction highlights: using GeoGebra commands such as RandomElement and Random to generate random initial parameters, If for conditional logic, and Textfield for user input; objects include parameters r, b, c, n, P, text labels (text1-text12), a button (button1), input boxes (InputBox1/2), and the final function f with correctness feedback (correct, correct2). ④ Suitable for high school or pre-university algebra and function courses, this example helps students understand compound interest calculations, exponential growth models, and parameter-driven dynamic visualization, and serves as an introductory exercise in mathematical modeling.