What is the prescribed dosage of a certain medicine for a 6-year-old child if the adult dosage of

the medicine is 180 milligrams?

What is C?


The formula below is used to calculate the correct dosage for a child:


C= a/(a+12) ∙ A


C = child’s dosage in milligrams

a = age of the child

A = adult dosage in milligrams


Show work

Respuesta :

Answer:

The dose in milligrams of a 6-year-old child is 60.

Step-by-step explanation:

The formula is:

[tex]C = \frac{a}{(a+ 12)}A[/tex]

We know that

A= adult dosage in milligrams=180 milligrams

a = age of the child = 6 years-old

So the child’s dosage in milligrams is:

[tex]C = \frac{6}{(6+12)}*180[/tex]

[tex]C = \frac{1}{(3)}*180[/tex]

[tex]C = \frac{180}{(3)}[/tex]

[tex]C = 60\ milligrams[/tex]