IV time needed with a rate change (easier)

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Created this as a copy of IV time needed (easier).

Name	Status	Author	Last Modified
IV flow rate mL/hr	Ready to use	Ben Brawn	10/07/2019 03:12
IV time needed (harder)	Ready to use	Ben Brawn	03/06/2020 05:18
IV volume received (harder)	Ready to use	Ben Brawn	12/07/2019 02:54
IV flow rate mL/hr given minutes	Ready to use	Ben Brawn	10/07/2019 03:13
IV time needed (easier)	Ready to use	Ben Brawn	12/07/2019 02:35
IV volume received (easier)	Ready to use	Ben Brawn	12/07/2019 02:47
IV time needed with a rate change (easier)	Ready to use	Ben Brawn	27/09/2019 03:53

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Question statement

Evaluate the following without using a calculator.

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			Name	Type	Generated Value

V	rational	1475
type	integer	2
m	integer	30
r2	integer	550
r1	integer	100
delay	integer	1
secondhour	integer	2
h	integer	3
time	rational	7/2
vleft	rational	1375

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
r1*delay+r2*(secondhour+m/60)
​

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `rational`

1475

← Depends on:

delay
m
r1
r2
secondhour

→ Used by:

vleft

Advice
"Unnamed part" - prompt

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Your patient is ordered $\var{V}$ mL of a fluid. If the IV is set at $\var{r1}$ mL/hr, and then after $\var{delay}$ hours the rate is changed to $\var{r2}$ mL/hr, how long will the total infusion take?

Gap 0. hours Gap 1. minutes

Advice

First rate: $\var{r1}\,\text{mL/hr}\times \var{delay}\,\text{hr}=\var{r1*delay}\,\text{mL}$

After that time the patient will still require $\var{V}\,\text{mL}-\var{r1*delay}\,\text{mL}=\var{vleft}\,\text{mL}$ .

Second rate:

$\begin{align}\text{time (hr)}&=\frac{\text{volume (mL)}}{\text{flow rate (mL/hr)}}\\&=\frac{\var{Vleft}\text{ mL}}{\var{r2} \text{ mL/hr}}\\&=\var{secondhour} \text{ hours and } 0 \text{ minutes} \end{align}$

Total time: $\var{delay}\,\text{hr}+\var{secondhour}\,\text{hr}=\var{h}\text{ hr}.$

$\begin{align}\text{time (hr)}&=\frac{\text{volume (mL)}}{\text{flow rate (mL/hr)}}\\&=\frac{\var{Vleft}\text{ mL}}{\var{r2} \text{ mL/hr}}\\&\approx \var{time-delay} \text{ hours} \\&=\var{secondhour} \text{ hours and } \var{m} \text{ minutes}\end{align}$

Total time: $\var{delay}\,\text{hr}+\var{secondhour}\,\text{hr}+\var{m}\, \text{min}=\var{h}\text{ hours and } \var{m} \text{ minutes}.$

$\begin{align}\text{time (hr)}&=\frac{\text{volume (mL)}}{\text{flow rate (mL/hr)}}\\&=\frac{\var{Vleft}\text{ mL}}{\var{r2} \text{ mL/hr}}\\&= \var{time-delay} \text{ hours} \\&=\var{secondhour} \text{ hours and } \var{m} \text{ minutes}\end{align}$

Total time: $\var{delay}\,\text{hr}+\var{secondhour}\,\text{hr}+\var{m}\, \text{min}=\var{h}\text{ hours and } \var{m} \text{ minutes}.$

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This question is used in the following exams:

Five randomly selected nursing calculation questions by Ben Brawn in Nursing.
IV flow rate by Ben Brawn in Nursing.

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Taxonomy: mathcentre

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Ben Brawn 5 years, 5 months ago

Ben Brawn 5 years, 5 months ago

Ben Brawn 5 years, 5 months ago

Error in variable testing condition

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Generated value: `rational`

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IV time needed with a rate change (easier)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Ben Brawn 5 years, 5 months ago

Ben Brawn 5 years, 5 months ago

Ben Brawn 5 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: rational

Parts

Gap-fill

Generated value: `rational`