What equation would you solve to find the value of X in the context of medication dosage?

To find the value of X in the context of medication dosage, the correct equation is one that directly relates to the calculation of the dosage based on the total amount or concentration required.

In choice A, the equation 100X = 75 indicates that 100 times some value X is equal to 75. This setup is commonly used in medication dosage calculations where you need to find the dosage amount represented by X when you're given that the total (in this case, a reference figure of 75) is derived from multiplying by a conversion factor or unit of measurement (100).

When solving this equation, dividing both sides by 100 gives you the value of X, which would represent the required dosage of medication in whatever units we're dealing with. This is particularly appropriate in scenarios embedded in nursing practice where precise calculations ensure patient safety and effective dosing.

The other choices do not set up the relationship correctly for the context of dosage calculations. For example, choice B suggests adding a number, which does not fit the common structure used for determining exact medication amounts. Choices C and D also do not express the necessary proportional relationship needed to calculate dosages accurately based on the given total.