Suppose that the adult dosage for a given medication is 150 milligrams (mg) per day for every 9 kilograms (kg) of body weight.
a) At this rate find the daily dose for a man who weighs 117 kg.
b) If the man is to receive 500 mg of this medication every 8 hours, is he receiving the proper dosage? Why or why not? If not, how much should he be receiving every 8 hours?
well, 117/9 = 13, so that's 13 "doses"
500 mg/8hr = 1500mg/day
Hmmm. we said he'd need 13 times the base amount
I think this man needs to lose some weight. 260 pounds? Yikes.
13x150=1950 mg/day
3x500=1500 mg
1950/3=650mg/8 hrs. ☺☺☺☺
To find the daily dose for a person, we need to know their body weight. Let's solve part a) first.
a) To find the daily dose for a man who weighs 117 kg, we can use the given ratio of 150 mg per day for every 9 kg of body weight.
First, we need to determine how many times 9 kg fits into the person's weight of 117 kg. We can do this by dividing the weight by 9:
117 kg ÷ 9 kg = 13
This tells us that the person's weight is equivalent to 13 times the 9 kg unit.
Now, we can calculate the daily dose by multiplying the number of 9 kg units by the dosage for each unit:
13 units × 150 mg/unit = 1950 mg
Therefore, the daily dose for a man who weighs 117 kg is 1950 mg.
Now, let's move on to part b).
b) If the man is to receive 500 mg of medication every 8 hours, we need to determine whether this dosage aligns with the prescribed daily dose.
To do this, we first need to calculate the total dosage the man would receive in a day.
Since the man is taking medication every 8 hours, there are 24 hours in a day divided by 8-hour intervals, which equals 3 doses in a day.
So, the total dosage he would receive in a day is:
3 doses × 500 mg/dose = 1500 mg
Comparing the calculated daily dosage of 1950 mg from part a) to the total dosage of 1500 mg in part b), we see that the man is not receiving the proper dosage. The prescribed daily dose is higher than what he is currently receiving.
To determine the proper dosage he should receive every 8 hours, we need to divide the daily dose by the number of doses in a day:
1950 mg ÷ 3 doses = 650 mg/dose
Therefore, the man should be receiving 650 mg of medication every 8 hours to match the prescribed daily dosage.