Question #7a027

1 Answer
Jul 14, 2017

Answer:

#"dosage" = 385# #"mg"#

Explanation:

We're asked to find the dosage of a certain medication needed for a #170#-#"lb"# patient, if the dosage is #5.00# #"mg/kg"# body mass.

To do this, we should find the mass of the patient from its given weight of #170# #"lb"#, by using the conversion factor

#(1color(white)(l)"kg")/(2.205color(white)(l)"lb")#

Therefore, we have

#170cancel("lb")((1color(white)(l)"kg")/(2.205cancel("lb"))) = 77.1# #"kg"#

The required dosage is

#(5.00color(white)(l)"mg med")/(1color(white)(l)"kg body mass")#

Using this conversion factor:

#77.1cancel("kg")((5.00color(white)(l)"mg med")/(1cancel("kg body mass"))) = color(red)(385# #color(red)("mg medication"#