Question

a certain pain medication has a recommended dosage .2mg per pound weight, and is reported to only be effective if the dosage administered is within 5% of the recommendation. would a 55mg be effective for a 180 pound patient? explain. round answer to nearest tenth​

Answer 1

no because 55 is not within 34.2 - 37.8

Explanation:

if you use this proportion:

.2/1 = x/180

x = 36

you will see that, proportionally, 36mg is for a 180-lb person

±5% of 36 is 1.8

add 1.8 to 36 to get 37.8mg

or subtract 1.8 from 36 to get 34.2

55 is not within that range