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Chapter 1: Problem 46

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(P=C+M C\) for \(M\)

Short Answer

Expert verified
The solution for `M` in the equation \(P=C+M C\) is \(M = \frac{P - C}{C}\). This formula does not appear to describe a specific common concept but can represent situations involving proportional relationships or finance.

Step by step solution

01

Isolate the terms with M

Firstly, aim to put all terms containing `M` on one side of the equation and everything else on the other side. This results in: \(M C = P - C\)
02

Solve for M

To isolate `M`, divide both sides of the equation by the coefficient of `M`, which is `C`. As such, \(M = \frac{P - C}{C}\).
03

Recognition of the formula

This particular formula does not commonly represent a specific concept in mathematics or physics. However, it can appear in problems concerning proportional relationships or finance, where `P` could be the total payment, `C` the cost, and `M` the markup percentage.

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