Question

Question #7a027

Answer 1

`"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"`