For children, dosage for medicine is often based on the child's mass. Let x represent a child's mass, in kilograms, and let d(x) represent the dosage, in milligrams. The function d(x) is shown for Medicines A and B. Each medicine has a maximum dosage equal to that of an adult dose.

Question

medicine a: d(x)= [12.5x,0<x<60
750,x>60

Drag each quantity to the correct box to indicate whether it is greater for Medicine A or for Medicine B.

maxium dose, smallest mass at which maxiumm dose does occur, dosage per kilogram of mass prior to the maxiumm dosage

Answer 1

For Medicine A:
- Maximum dose: Medicine A has a maximum dose equal to that of an adult dose.
- Smallest mass at which maximum dose does occur: The smallest mass at which the maximum dose of Medicine A occurs is 60 kilograms.
- Dosage per kilogram of mass prior to the maximum dosage: The dosage per kilogram of mass prior to the maximum dosage of Medicine A is 12.5 milligrams.

For Medicine B:
- Maximum dose: Medicine B has a maximum dose equal to that of an adult dose.
- Smallest mass at which maximum dose does occur: The smallest mass at which the maximum dose of Medicine B occurs is not provided in the given information.
- Dosage per kilogram of mass prior to the maximum dosage: The dosage per kilogram of mass prior to the maximum dosage of Medicine B is not provided in the given information.