One of the formulas for calculating the correct dosage for a child is as follows: C= a/(a+12) ∙ 180
C = child’s dosage in milligrams a = age of the child A = adult dosage in milligrams

What is the prescribed dosage of a certain medicine for a child 6 years old, if the adult dosage of the medicine is 180 milligrams?

Respuesta :

I'm assuming you're formula is "C=a/(a+12)*A" as that is only logical

You get the formula 
"C=a/(a+12)*A"

You insert the numbers given, in place of the letters given.

C=6/(6+12)*180
C=3*180
C=540 mg

Which is of course wrong because it is more than the adults dosage. What i'm trying to say is "Your formula is incorrect , follow the steps I gave, but use the correct formula"

Dosage of a prescribed medicine for a child as per given formula is equals to 60milligrams.

What is formula?

" Formula is defined as the follow direction to prepare something using given quantity."

According to the question,

Formula for calculating the correct dosage for a child,

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

C = child’s dosage in milligrams

a = age of the child

Dosage of medicine 6 years old child,

Substitute the value of 'a' = 6 in the formula we get,

[tex]C = \frac{6}{(6+ 12 )}(180)\\\\\implies C = \frac{6}{18} (180)\\\\\implies C = 60 milligrams[/tex]

Hence, dosage of a prescribed medicine for a child as per given formula is equals to 60milligrams.

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