Question

an antibiotic is available in a solution with a concentration of 175 mg per 5 ml of solution or in 175-mg capsules. the recommended dosage of the antibiotic is 35 \\(\frac{\text{mg}}{\text{kg}}\\) per day. complete parts (a) and (b).

a. how many capsules should a 40-kg person take every 6 hours?
a 40-kg person should take \\(\square\\) capsule(s) every 6 hours.
(round to the nearest integer as needed.)

Explanation:

Step1: Calculate daily dosage for 40-kg person

The recommended dosage is \( 35 \frac{\text{mg}}{\text{kg}} \) per day. For a 40-kg person, the daily dosage (in mg) is \( 35 \times 40 = 1400 \) mg.

Step2: Calculate dosage every 6 hours

There are \( \frac{24}{6} = 4 \) intervals in a day. So the dosage every 6 hours is \( \frac{1400}{4} = 350 \) mg.

Step3: Calculate number of capsules

Each capsule is 175 mg. So the number of capsules is \( \frac{350}{175} = 2 \).

Answer:

2