Math Validation 2023
ATI Math Validation 2023
Total Questions : 16
Showing 10 questions Sign up for moreCalculate the following dosage using the ratio and proportion method. Round the answer to the nearest tenth. Order: Heparin 17,000 units sub-cut daily
Available: Heparin labeled 20,000 units per mL
Explanation
To solve this problem using the ratio and proportion method, we must set up a proportion with the ordered dose on one side and the available dose on the other. Then we cross-multiply and solve for the unknown quantity, which is the volume of heparin to be administered.
The proportion is:
17,000 units / x ml = 20,000 units / 1 ml Cross-multiplying gives:
17,000 * 1 = 20,000 * x
Solving for x gives:
x = 17,000 / 20,000
x = 0.85 ml
Therefore, the volume of heparin to be administered is 0.85 ml.
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Instructions: Calculate the flow rate in units/hr (Equipment used is programmable in whole units/hr). Order: 100,000 units of Heparin in 1,000 mL to infuse at 50 mL/hr. Calculate the rate in units/hr.
Explanation
To solve this problem, we need to find the concentration of heparin in the solution and then multiply it by the infusion rate. The concentration of heparin is the amount of heparin divided by the volume of the solution. In this case, the concentration is:
100,000 units / 1,000 ml = 100 units/ml
The infusion rate is given as 50 ml/hr. To find the flow rate in units/hr, we multiply the concentration by the infusion rate:
100 units/ml * 50 ml/hr = 5000 units/hr
Therefore, the flow rate in units/hr is 5000 units/hr.
Instructions: Calculate the flow rate in mL/hr (The equipment used is programmable in whole mL/hr). Order: 3,600 mL of D5W in 24 hr by infusion pump.
No explanation
CALCULATE FLOW RATE IN DROPS PER MINUTE:
Order: Levaquin 500 mg IVPB in 100 mL 0.9% NS q12h over 1 hr.
Drop factor: 10 gtt/mL
Determine rate in gtt/min.
Explanation
To solve this problem, we need to find the infusion rate in ml/min by dividing the volume of the solution by the duration of the infusion. In this case, the infusion rate is:
100 ml / 60 min = 1.67 ml/min
Then, we need to multiply the infusion rate by the drop factor to find the flow rate in gtt/min. The drop factor is given as 10 gtt/ml. Therefore, the flow rate is:
1.67 ml/min * 10 gtt/ml = 16.7 gtt/min
However, since we cannot administer partial drops, we need to round the answer to the nearest whole number. The closest whole number to 16.7 gtt/min is 17 gtt/min, so we round up. Therefore, the flow rate in gtt/min is 17 gtt/min.
Calculate the following dosage using the ratio and proportion method (Round the mL answer to the nearest tenth).
Order: Heparin 6,000 units Subcutaneously daily.
Available: Heparin 5,000 units/mL
Explanation
Step 1: Identify the given information
- Ordered dose = 6,000 units
- Available concentration = 5,000 units per 1 mL
Step 2: Set up the ratio and proportion equation
- 5,000 units ÷ 1 mL = 6,000 units ÷ X mL
Step 3: Solve for X
- (6,000 × 1) ÷ 5,000 = X
- 6,000 ÷ 5,000 = 1.2 mL
Step 4: Round to the nearest tenth
- 1.2 mL (already rounded)
Calculate flow rate in drops per minute:
Order: Zosyn 1.3 g in 100 mL D5W IVPB q8h to infuse over 30 min. Drop factor: 60 gtt/mL
Determine rate in gtt/min.
Explanation
Step 1: Identify the given information
- Total volume to infuse = 100 mL
- Infusion time = 30 minutes
- Drop factor = 60 gtt/mL
Step 2: Use the formula for flow rate
Flow rate (gtt/min) = (Total Volume (mL) × Drop Factor (gtt/mL)) ÷ Infusion Time (min)
Step 3: Plug in the values
= (100 × 60) ÷ 30
Step 4: Solve step by step
- 100 × 60 = 6000
- 6000 ÷ 30 = 200
Calculate the flow rate in mL/hr. (The equipment used is programmable in whole mL/hr).
Order: 100 mL 0.45% NS in 45 minutes by infusion pump.
Calculate the rate in mL/hr.
Explanation
To solve this problem, we need to use the formula:
Rate (mL/hr) = Volume (mL) / Time (hr)
Plugging in the given values, we get:
Rate (mL/hr) = 100 mL / 0.75 hr
Rate (mL/hr) = 133.33 mL/hr
However, this is not the final answer because the equipment used is programmable in whole mL/hr, which means we need to round the rate to the nearest whole number. Therefore, we need to apply the rounding rule: if the decimal part is 0.5 or more, round up; if the decimal part is less than 0.5, round down. In this case, the decimal part is 0.33, which is less than 0.5, so we round down. This gives:
Rounded rate (mL/hr) = 133 mL/hr
Therefore, the correct flow rate is 133 mL/hr.
Calculate the following dosage:
Order: Tegretol 200 mg p.o. t.i.d. Available: 100 mg tablets
How many tablets will you administer?
Explanation
To solve this problem, we need to use the formula:
Desired dose / Available dose = Number of tablets
Plugging in the given values, we get:
200 mg / 100 mg = Number of tablets
2 = Number of tablets
Therefore, the correct dosage is 2 tablets.
Calculate the dosage. Round to the nearest tenth place.
Order: Atropine 1.0 mg IM Stat.
Available: Atropine 0.4 mg/mL
Explanation
Step 1: Identify the given information
- Ordered dose = 1.0 mg
- Available concentration = 0.4 mg per 1 mL
Step 2: Use the ratio and proportion method
Required dose ÷ Available concentration = Volume to administer
Step 3: Plug in the values
= (1.0 ÷ 0.4)
Step 4: Solve step by step
- 1.0 ÷ 0.4 = 2.5 mL
Step 5: Round to the nearest tenth
- 2.5 mL (already rounded)
Calculate the following dosage using the ratio and proportion method. Round the answer to the nearest tenth. Order: Heparin bolus of 8,500 units IV Stat
Available: 50,000 units per 5 Ml
Explanation
To calculate the dosage using the ratio and proportion method, we need to set up a proportion with the ordered dose and the available dose as follows:
Ordered dose (units) / Dosage (mL) = Available dose (units) / Available volume (mL)
Plugging in the given values, we get:
8,500 units / Dosage (mL) = 50,000 units / 5 mL
Cross-multiplying, we get:
50,000 units x Dosage (mL) = 8,500 units x 5 mL
Solving for Dosage (mL), we get:
Dosage (mL) = (8,500 units x 5 mL) / 50,000 units
Simplifying, we get:
Dosage (mL) = 42,500 mL / 50,000
Therefore, the dosage is 0.85 mL.
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