The problem involves calculating the dosage of a drug for a child based on the adult dosage using a specific formula. The formula given is:

$\text{Child dosage} = \left(\frac{\text{age of child in years}}{\text{age of child} + 12}\right) \times \text{adult dosage}$

Given dataThe problem involves calculating the dosage of a drug for a child based on the adult dosage using a specific formula. The formula given is:

$\text{Child dosage} = \left(\frac{\text{age of child in years}}{\text{age of child} + 12}\right) \times \text{adult dosage}$

Given

• Adult dosage = 174 mL
• Age of the child = 7 years

Let's calculate the child's dosage:

$\text{Child dosage} = \left(\frac{7}{7 + 12}\right) \times 174 \text{ mL}$

$\text{Child dosage} = \left(\frac{7}{19}\right) \times 174 \text{ mL}$

$\text{Child dosage} = 0.3684 \times 174 \text{ mL}$

$\text{Child dosage} \approx 64.11 \text{ mL}$

So, the 7-year-old child should receive approximately 64.11 mL of the drug.

Would you like further details or have any questions?

Related Questions:

1. How does the child's dosage change as they age?
2. What would be the dosage for a 5-year-old using the same formula?
3. Can you derive the formula used for this calculation?
4. How would the dosage change if the adult dosage were 200 mL?
5. What if the age of the child is not given? How could we approach the problem?

Tip:

Always double-check your input values and units to ensure accuracy in dosage calculations, especially in medical contexts.