Mathematical Modeling, terms

A mathematical model is an equation or set of equations built to represent a real situation, such as cost versus quantity or distance versus time. It's more than solving an equation because you first have to translate the given information into that equation yourself, then test whether it actually fits the data given.

Since there's a single core term, the real skill in this chapter isn't vocabulary but the process: identifying variables, forming an equation from a description, solving it, and checking the solution makes sense in context. Spend your revision time practising that full cycle on different scenarios rather than memorising definitions.

These questions usually describe a real-world situation in words, a business cost, a savings plan, a journey, and ask you to write it as an equation, then use that equation to answer a follow-up, such as finding an unknown value or checking if a target is achievable. Read the whole scenario before writing anything down.