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technical math worksheet: rates and proportions \t\t\t\tname ______ tue…

Question

technical math
worksheet: rates and proportions \t\t\t\tname ______
tuesday is a busy day at the clinic. several patients need medications or shots. you will have to calculate the dosage of medicine based on body weight for some of these patients. round your answers to the nearest tenths place, if necessary.

m. garcia is to be given medication with a recommended dose of 4 mg/kg of body weight. she weighs 64 kg.
how much medicine will you give ms. garcia? ______

j. smith weighs 205 lb. the doctor orders 15 mg/kg of medication.
convert the patient’s weight into kilograms. mr. smith weighs ______kg.
what is the correct dose of medication for mr. smith? ______mg.

the doctor orders a shot of 0.1 cc/kg medication for a 40 lb. child.
convert the child’s weight into kilograms. the child weighs ______kg.
the correct dose for this child’s shot is ______cc.

the doctor orders 1500 mg of medication for d. cameron who weighs 185 lb. the label on the medication states the recommended dosage for the medication is 15 - 25 mg/kg of body weight. is the dose prescribed by the doctor safe for this patient?
convert the patient’s weight into kilograms. the patient weighs ______kg.
calculate the dosage range: minimum dose ____ to ____ maximum dose
is the dose prescribed safe for this patient? yes or no

the doctor prescribed 50 mg/kg divided into 3 equal doses for a toddler who weighs 25 lbs.
the toddler weighs ______kg.
the total dosage to be given is ______mg.
each individual dose will be ______mg.

Explanation:

Ms. Garcia's Medication

Step1: Identify the formula

The formula for dosage is \( \text{Dosage} = \text{Dose per kg} \times \text{Weight (kg)} \)

Step2: Plug in the values

Dose per kg = \( 4 \, \text{mg/kg} \), Weight = \( 64 \, \text{kg} \)
\( \text{Dosage} = 4 \times 64 \)

Step3: Calculate the result

\( 4 \times 64 = 256 \)

Step1: Recall the conversion factor

\( 1 \, \text{lb} \approx 0.4536 \, \text{kg} \)

Step2: Convert weight

Weight in lb = \( 205 \, \text{lb} \), so Weight in kg = \( 205 \times 0.4536 \)

Step3: Calculate the result

\( 205 \times 0.4536 \approx 93.0 \, \text{kg} \) (rounded to the nearest tenth)

Step1: Identify the formula

\( \text{Dosage} = \text{Dose per kg} \times \text{Weight (kg)} \)

Step2: Plug in the values

Dose per kg = \( 15 \, \text{mg/kg} \), Weight = \( 93.0 \, \text{kg} \)
\( \text{Dosage} = 15 \times 93.0 \)

Step3: Calculate the result

\( 15 \times 93.0 = 1395 \)

Answer:

\( 256 \, \text{mg} \)

J. Smith's Weight Conversion