Question

1. for some painkillers, the size of the dose, d, given depends on the weight of the patient, w. thus, d = f(w), where d is measured in milligrams and w is measured in pounds. for f(140) = 3, explain the meaning of your answer in the context of the problem using appropriate units.

Explanation:

The function \(D = f(W)\) represents the relationship between the dose \(D\) (in milligrams) of a painkiller and the weight \(W\) (in pounds) of a patient. When \(W = 140\) pounds, \(f(140)=3\) means that for a patient who weighs \(140\) pounds, the appropriate dose of the painkiller is \(3\) milligrams.

Answer:

A patient who weighs \(140\) pounds should be given a \(3 -\)milligram dose of the painkiller.