I need help with this homework question:
The dosage for a medication is 1/3 ounce for every 40 pounds of body weight. At this rate, how many ounces of medication should a physician prescribe for a patient who weighs 150 pounds? Write the answer as a decimal.
Can you please show the steps of how you did this question to get the answer?
Set up a ratio/proportion:
(1/3 oz)/(40 lbs)=(x oz)/150 lb.
Solve for x oz. Cross multiply to obtain
(1/3)*150 = 40*x
50 = 40x
x=50/40 = ?? in decimal format.
Check my thinking. Check my numbers.
how about a simple ratio
1/3 : 40 = x : 150
40x = (1/3)150
x = 50/40 = 5/4 = 1.25
he should prescribe 1.25 ounces
Sure! I'd be happy to help you with that. To find out how many ounces of medication should be prescribed for a patient who weighs 150 pounds, we can follow these steps:
Step 1: Determine the dosage rate per pound of body weight
The given dosage rate is 1/3 ounce for every 40 pounds of body weight. We can calculate the dosage rate per pound by dividing 1/3 ounce by 40 pounds:
Dosage rate per pound = (1/3 ounce) / (40 pounds)
Step 2: Calculate the dosage for a patient who weighs 150 pounds
To find the dosage for a patient who weighs 150 pounds, we can multiply the dosage rate per pound by the weight of the patient:
Dosage = (Dosage rate per pound) * (Weight of the patient)
Substituting the values, we have:
Dosage = (1/3 ounce / 40 pounds) * 150 pounds
Step 3: Simplify the expression and solve for the dosage
To simplify the expression, we can divide 150 pounds by 40 pounds and multiply it by 1/3 ounce:
Dosage = (1/3 ounce / 40 pounds) * 150 pounds
= (1/3) * (150/40) ounce
= (1/3) * (15/4) ounce
= 15/12 ounce
= 5/4 ounce
Therefore, the physician should prescribe 5/4 ounce (or 1.25 ounces) of medication for a patient who weighs 150 pounds.
Sure! To find the number of ounces of medication a physician should prescribe for a patient who weighs 150 pounds, we can follow these steps:
Step 1: Determine the dosage rate per pound of body weight.
The given dosage rate is 1/3 ounce for every 40 pounds of body weight. So, the dosage rate per pound of body weight is (1/3) / 40 = 0.0083 ounces (rounded to four decimal places).
Step 2: Calculate the number of ounces of medication for the given weight.
To find the number of ounces of medication required for a patient weighing 150 pounds, we need to multiply their weight by the dosage rate per pound. Thus, the calculation is:
Number of ounces = Weight in pounds * Dosage rate per pound
= 150 * 0.0083
= 1.245 ounces (rounded to three decimal places).
Therefore, a physician should prescribe approximately 1.245 ounces (or 1.245) of medication for a patient weighing 150 pounds.