The child has been diagnosed with rickets. The child’s mother is educated about the importance of providing the child with 10 micrograms (400 International Units) of an oral vitamin D supplement each day. The child’s mother purchases over-the-counter vitamin D drops. The supplement is noted to contain 5 mcg of vitamin D in each 0.5 mL. How much of the supplement should the mother administer to the child each day? Record your answer using one decimal place.

1.0 mL each day

Step-by-step explanation:

The required daily dosage of vitamin D is 10 micrograms.

The supplement contains 5 micrograms per 0.5mL.

The volume of supplement necessary to fulfill the daily requirements of vitamin D is:

She should administer 1.0 mL of the supplement each day.

answer: b

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: