If a medication contains 3.5 mg of a drug in 5 mL solution, how many milligrams are in 13 mL ? Round to two decimal places

1. The medication has a concentration of \[ \frac{3.5\text{ mg}}{5\text{ mL}}. \] 2. Let \( x \) be the amount in milligrams in 13 mL of the solution. We can set up a proportion: \[ \frac{3.5}{5} = \frac{x}{13}. \] 3. Solve for \( x \) by cross-multiplying: \[ 5x = 3.5 \times 13. \] 4. Calculate the multiplication on the right: \[ 3.5 \times 13 = 45.5. \] So, \[ 5x = 45.5. \] 5. Divide both sides by 5 to solve for \( x \): \[ x = \frac{45.5}{5} = 9.1. \] 6. Rounding to two decimal places (if necessary), the final answer is: \[ x = 9.10\text{ mg}. \]