The nurse claim that a A-litie drip wifh a Drip Factor of \( 90 \mathrm{~g} t / \mathrm{ml} \) and a drip rate of \( 300 \mathrm{git} / \mathrm{min} \) will take more than 206 minutes to finish. The deetor elaim that the drip will take less than 266 minutes te Jse calculations to verify who is cerrect.

To verify who is correct, we need to calculate the total volume of fluid being administered and then determine how long it will take based on the given drip factor and drip rate. First, we can use the formula: \[ \text{Time (minutes)} = \frac{\text{Total Volume (ml)}}{\text{Drip Rate (ml/min)}} \] Given a drip factor of \(90 \text{gtt/ml}\) and a drip rate of \(300 \text{gtt/min}\): 1. Calculate the volume being administered per minute: \[ \text{Total Volume per minute} = \frac{\text{Drip Rate}}{\text{Drip Factor}} = \frac{300 \text{gtt/min}}{90 \text{gtt/ml}} \approx 3.33 \text{ml/min} \] 2. If we denote the total volume being administered as \(V\) ml, then: \[ \text{Time (min)} = \frac{V \text{ ml}}{3.33 \text{ml/min}} \] Hence, we can say that the total time will depend on \(V\). If \(V\) is known, use the formula to see if it falls between 206 minutes and 266 minutes. With \(V\) specified, you can plug the total volume into the equation and do the math to see the nurse or the doctor’s claim holds true!