Dimension Analysis Lab
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Durham Technical Community College *
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143
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Mathematics
Date
Feb 20, 2024
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MAT 143 Quantitative Literacy Dimensional Analysis Lab
Name: _________________________________________ Date:_________________
Why are we doing this lab?
Approximately 1.3 million people are injured annually in the United States as
a result of so-called "medication errors." The National Coordinating Council for Medication Error Reporting and Prevention has detailed information about many types of errors. This information can be found in more depth at the following link: http://www.medicinenet.com/script/main/art.asp?
articlekey=55234
.) A highlight: "...the most common error involving medications was related to administration of an improper dose of
medicine, accounting for 41% of fatal medication errors. Giving the wrong drug and using the wrong route of administration each accounted for 16% of the errors.
Almost half of the fatal medication errors occurred in people over the age of 60. Older people may be at greatest risk for medication errors because
they often take multiple prescription medications."
The healthcare profession is made up of thousands of fallible individuals, just like you and me, who usually provide excellent healthcare but occasionally still make mistakes. Would you be able to spot the mistakes or know whether or not what medication you are being given is within a limit that is appropriate? The following lab will give you some examples to work through so that you will better understand whether what you are being given is appropriate or not.
Part I - My Grandma Weighs What? 1. a) (4 pts.) Your grandmother is in the hospital and is put on a liquid diet. After examining her chart, a mistake is found stating that her weight is 500 kg. What is the equivalent weight in pounds? b) (3 pts.) What do you think is the most likely mistake made by whoever wrote on the chart? (justify your answer) 2. a) (3 pts) How many kilograms do you weigh or wish to weigh? (You may pretend here. Round your answer to the nearest whole number)
b) How tall are you in centimeters? (Round your answer to the nearest tenth)
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Part II - A Vacation with a Trip to the Hospital! 3. (4 pts.) First, let's go on a trip! You come into some money and decide to go to Canada where you find the exchange rate to be 1.04 Canadian dollars to 1 US dollar. You have $10000 US to take with you. What is the equivalent value in Canadian dollars?
4. (5 pts.)
While in Canada, you rent a car and discover that the speed limit on the highway is 100 km/hr. What is the equivalent value in mi/hr? (Round to the nearest whole number)
5.(5 pts.) Oh no! You wake up with a fever! All you can find at the store is Aspirin, and the bottle says to take 162 mg. The bottle also says each tablet has 81 mg in each tablet. How many tablets should you take? 6. (5 pts.) When you don't seem to get any better, you eventually end up in the hospital. The doctor orders a dosage amount of 120 mg of medicine. The nurse comes in with 6 tablets and tells you that there are 30 mg in each tablet. Is this the correct dosage? If not, how many tablets should you get?
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7. (5 pts.) While still in the hospital, the doctor writes an order for an antibiotic at 300mg/kg/day. You are
nervous now because the nurse was wrong before. Assuming that you weigh 123 lb, determine how many milligrams you should be given. What is the equivalent number of grams? (Hint: mg/kg/day =
mg
kg
∗
day
). Round your answers to the nearest hundredth where appropriate
8. (5 pts.) Due to your severe pain, the doctor tells the nurse to give you 625 mg of pain medicine every 6
hours. You also hear the nurse say that the medication comes in 250-mg tablets. How many tablets should she give you every 6 hours?
9. (7 pts) The doctor finally figures out what is wrong with you and prescribes a medicine that will return you to full health. The order is for 25 mg of the medicine. The nurse walks in with a liquid, and you ask to
see the bottle. The bottle says 100 mg of medicine per 15 ml of liquid. How many milliliters should she give you? (Round to the nearest hundredth).
Would she need to bring that to you in a dropper, a little cup, a glass, or a large bottle?
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