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 21 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 $\frac{12.5}{1.5}=\frac{21}{x}$.

Step2: Cross - multiply

$12.5x = 21\times1.5$.

Step3: Calculate right - hand side

$21\times1.5 = 31.5$, so $12.5x=31.5$.

Step4: Solve for $x$

$x=\frac{31.5}{12.5}=2.52$.

Step5: Round to nearest tenth

Rounding $2.52$ to the nearest tenth gives $2.5$.

Answer:

$2.5$