Part A -An adult dose is 75mg

Part B- 500mg (adult)
187mg (child)

How I come up with a formula for this problem?

What's the problem? What's the question? You want a formula for what?

The question is using the Cowling's Rule for children's dosage of medication. Explain what the variables in the formula represent and show all steps in the computations.

The question is using the Cowling's Rule for children's dosage of medication. Explain what the variables in the formula represent and show all steps in the computations.

Part A -An adult dose is 75mg

Part B- 500mg (adult)
187mg (child)

To come up with a formula for this problem, we need to analyze the given information and identify the relationship between the dose for adults and children.

Part A states that an adult dose is 75mg. This is our reference point.

In Part B, it provides the doses for both adults and children. We can observe that the child dose (187mg) is a fraction or a percentage of the adult dose (500mg).

To express this relationship algebraically, let's represent the adult dose as "A" and the child dose as "C." The child dose is 187mg, and the adult dose is 500mg. Thus, we can create the formula:

C = r * A

Here, "r" represents the ratio or fraction of the adult dose that the child dose is. To find this ratio, we divide the child dose by the adult dose:

r = C / A

Substituting the given values:
r = 187mg / 500mg

Simplifying this fraction:
r = 0.374

Now we have the formula for finding the child dose from the adult dose:

C = 0.374 * A

This formula allows you to calculate the child dose (C) by multiplying the adult dose (A) by the ratio (r).