For SPQR ONLY!!!

1. Cowling's rule.  Cowling's rule is another function for determining the child's dosage of a drug. For this rule, the formula

expresses the child's dosage d as a function of the adult dosage D and the child's age a.

a)	If a doctor prescribes 1000 milligrams of acetaminophen for an adult, then how many milligrams would she prescribe for an eight-year-old child using Cowling's rule?
b)	If a doctor uses Cowling's rule to prescribe 200 milligrams of a drug to a child when she would prescribe 600 milligrams to an adult, then how old is the child?

1. Administering vancomycin.  A patient is to receive 750 milligrams (desired dose) of the antibiotic vancomycin. However, vancomycin comes in a solution containing 1000 milligrams (available dose) of vancomycin per 5 milliliters (quantity) of solution. The amount of solution to be given to the patient is a function of the desired dose, the available dose, and the quantity, given by the formula

Find the amount of the solution that should be administered to the patient.