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)

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In Cowling's Rule If a doctor prescribes 75 milligrams of tamiflu for an adult, then how many milligrams would she prescribe for a six-year-old child using Cowling's rule?

Sure, let's go step by step to explain Cowling's Rule for children's dosage of medication.

Cowling's Rule is a method used to calculate a child's medication dosage based on the adult dosage. According to the rule, the child's dosage is calculated by dividing the child's age in years by the sum of the child's age and 12, and then multiplying the result by the adult dosage.

Let's break down the variables in the formula:

- Adult dose: This represents the amount of medication recommended for an adult.

- Child's age: This represents the age of the child in years.

Now, let's apply Cowling's Rule to the given scenarios:

Part A:
The adult dose is 75mg. Since we don't have any specific child's age mentioned in this scenario, we cannot calculate the child's dosage using Cowling's Rule. The rule requires the child's age as an input.

In this case, we only have information about the adult dose, so we don't have enough information to proceed with the computation.

Part B:
Here, we have both the adult dose and the child dose. The adult dose is 500mg, and the child dose is 187mg. We can use Cowling's Rule to determine the child's age.

Let's set up the equation using the formula:

Child's dose = (Child's age / (Child's age + 12)) * Adult dose

We know that the child's dose is given as 187mg and the adult dose is given as 500mg. We need to find the child's age.

Let's solve the equation for the child's age:

187 = (Child's age / (Child's age + 12)) * 500

To simplify the equation, let's multiply both sides by (Child's age + 12):

187 * (Child's age + 12) = Child's age * 500

Distribute the left side of the equation:

187 * Child's age + 187 * 12 = 500 * Child's age

Multiply the numbers:

2244 + 187 * Child's age = 500 * Child's age

Now, let's isolate the Child's age term:

187 * Child's age - 500 * Child's age = -2244

Combine like terms:

(187 - 500) * Child's age = -2244

Simplify:

-313 * Child's age = -2244

Now, let's solve for Child's age by dividing both sides of the equation by -313:

Child's age = -2244 / -313

Child's age ≈ 7.16 years

So, using Cowling's Rule, we can estimate that the child's age is approximately 7.16 years based on the given adult dose of 500mg and child dose of 187mg.

Please note that this is an approximation, and it's always recommended to consult a healthcare professional for accurate dosing information.