Question

D= (A/A+12) *MD = child's dosage in milligramsa = age of the childM = adult dosage in milligramsWhat is the prescribed dosage of a certain medicine for a child 6 years old, if the adult dosage of the medicine is 180 milligrams? (Show your work).

Answer 1

Based on the question, here are the information given:

• age of the child (A) = 6 years old

,

• adult dosage (M) = 180 milligrams

To determine the child's dosage in milligrams, a formula is provided. Let's replace "A" and "M" in the formula with the information written above.

$D=(\frac{A}{A+12})\times M$$D=(\frac{6}{6+12})\times180$

Then, solve.

a. First, add 6 and 12 in the denominator.

$D=\frac{6}{18}\times180$

b. Multiply 6 and 180.

$D=\frac{1,080}{18}$

c. Divide 1,080 by 18.

$D=6$

The value of D is 6.

Answer:

Therefore, the prescribed dosage of a certain medicine for a child 6 years old is 6 mg.