Could the mathemical mdel be used to manipulate variables?

Answer 1

First, lets correct your grammar and spelling: "Could the mathematical model be used to manipulate variables?"

The question, as stated, makes no sense, so you'll need to rephrase it and resubmit.

A mathematical model simply means an equation used to describe some phenomenon. A good example would be Newton's 3rd law of motion, F=ma, Force equals mass times acceleration. That tells you how a body accelerates when subject to a force.

Could you use F=ma (a mathematical model) to manipulate variables? Makes no sense. You manipulate(change) variables as you, the modeler, see fit. You could certainly manipulate the variables (F,m) in Newton's 3rd law to see how the motion changed.