Question

calculate the dosage (in milliliters). express your answer to the nearest tenth. assess your answer to determine if it is logical. a dosage of 23 mg has been ordered. the solution strength available is 12.5 mg in 1.5 ml.

Explanation:

Step1: Set up proportion

Let $x$ be the volume in mL. We have the proportion $\frac{12.5\ mg}{1.5\ mL}=\frac{23\ mg}{x\ mL}$.

Step2: Cross - multiply

$12.5x = 23\times1.5$.

Step3: Calculate right - hand side

$23\times1.5 = 34.5$, so $12.5x=34.5$.

Step4: Solve for $x$

$x=\frac{34.5}{12.5}=2.76$.

Step5: Round to nearest tenth

Rounding $2.76$ to the nearest tenth gives $2.8$.

Answer:

$2.8$