Solving Math Problem

Question

What If a patient is prescribed to receive 380 mg of dopamine how long should the infusion last?

Answer 1

Not enough information here to answer. What is the infusion rate in mg/s ? This is necessary to know.

Mike

Answer 2

I'm assuming the same data from the previous problem is valid (323 mg/34mL at 10 mL/hr),

We are looking for an answer in hours. The previous problem ended up giving us the answer 95 mg/hr which has hours in the denominator. We need it to be in the numerator (we want an answer in hours not in 1/hours). So we need to invert the flow rate. Instead of 95 mg/hr, aka 95 mg/1 hr, if inverted, we have:

Now we see that if multiplied by xxx mg, the mg will cancel the mg in the denominator and we will end up with an answer in hours (exactly what we want). So: