Question

question 6, 2.8.85 part 1 of 2 points: 0 of 1 ork part 2 a certain antihistamine is often prescribed for allergies. a typical dose for a 100-pound person is 25 mg every six hours. complete parts (a) and (b) below. a. following this dosage, how many 13.4 mg chewable tablets would be taken in a week? b. the antihistamine also comes in a liquid form with a concentration of 13.4 mg/9 ml. following the prescribed dosage, how much liquid antihistamine should a 100-pound person take in a week? a. a 100-pound person could take \boxed{} tablets in a week. (round to the nearest whole number as needed.)

Explanation:

Part (a)

Step 1: Find doses per day

A dose is 25 mg every 6 hours. In a day (24 hours), number of doses = $\frac{24}{6} = 4$. So daily dose = $25 \times 4 = 100$ mg.

Step 2: Find weekly dose

Weekly (7 days) dose = $100 \times 7 = 700$ mg.

Step 3: Find number of tablets

Each tablet is 13.4 mg. Number of tablets = $\frac{700}{13.4} \approx 52.24$. Rounding to whole number, 52.

Step 1: Weekly dose (from part a)

Weekly dose is 700 mg.

Step 2: Concentration is 13.4 mg/6 mL

Let volume be $V$. Then $\frac{13.4}{6} = \frac{700}{V}$. Solving for $V$: $V = \frac{700 \times 6}{13.4} \approx 313.43$ mL.

Answer:

52

Part (b)