We are asked to determine the volume of a drug to be administered. To do that we will convert the mass from pounds to kilograms. We will use the following conversion factor:
[tex]1kg=2.2lb[/tex]Now, we multiply by the conversion factor:
[tex]95lb\times\frac{1kg}{2.2lb}=43.1kg[/tex]Now, we multiply the mass by the rate of mg per kg:
[tex](15\frac{mg}{kg})(43.1kg)=646.5mg[/tex]Now we use the rule of 3 to determine the amount of mL required:
[tex]\begin{gathered} 125mg\rightarrow2mL \\ 645.5mg\rightarrow x \end{gathered}[/tex]Now, we cross multiply:
[tex]125mg(x)=(2mL)(645.5mg)[/tex]Now, we divide both sides by 125mg:
[tex]x=\frac{(2mL)(645.5mg)}{125mg}[/tex]Solving the operations:
[tex]x=10.33mL[/tex]Therefore, 10.33mL are required.
