Math Modeling focuses on the application of mathematical concepts to solve real-world problems through modeling and analysis.
Creating a simple model starts by identifying the key parts of a problem and making some assumptions to keep things manageable.
Assumptions are the choices you make to simplify reality. For example, ignoring air resistance when modeling a falling object makes the math easier.
Start with the most basic model and add complexity later as needed.
Using \(y = mx + b\) to model the cost of movie tickets as a function of the number of tickets bought.
Modeling a car's distance traveled with time using \(d = vt\).
Start with basic relationships and simple assumptions to build models.