Final answer:
To make 'r' the subject of a formula, algebraic manipulation is required to isolate 'r' on one side of the equation. This might include various algebraic steps depending on the structure of the formula given. The task is a common one in high school mathematics, especially when applying scientific concepts.
Step-by-step explanation:
When dealing with a science formula and needing to make a variable the subject of the formula, you are essentially performing algebraic manipulation. This skill is crucial in many areas of mathematics, especially when applying scientific concepts. The question suggests that the student has been asked to solve for 'r' in a given formula.
The process involves isolating 'r' on one side of the equation, which may require various algebraic steps such as adding or subtracting terms on both sides, multiplying or dividing through by coefficients, or using inverse operations to undo any functions applied to 'r'. An understanding of algebra is needed, along with an ability to recognize and apply the correct mathematical principles.
For example, if the formula provided was Rtotal = Rstar x fƒp × fe × ƒ₁ × ƒi x fc, and 'r' is part of Rstar, say Rstar = r * some_constant, you would have to divide both sides of the equation by all terms associated with Rstar except for 'r' to make 'r' the subject of the formula.