word problem using graphical simultaneous equations 2.

Error

There was an error loading the page.

Contributors

Merryn Horrocks

Feedback

From users who are members of Standard Maths :

Merryn Horrocks

said

Ready to use

4 years, 7 months ago

History

○

Merryn Horrocks 4 years, 7 months ago

Published this.

○

Merryn Horrocks 4 years, 7 months ago

Gave some feedback: Ready to use

○

Merryn Horrocks 4 years, 7 months ago

Created this as a copy of Solution of a word problem using graphical simultaneous equations..

Name	Status	Author	Last Modified
Solution of a word problem using graphical simultaneous equations.	Ready to use	Merryn Horrocks	18/08/2020 12:45
word problem using graphical simultaneous equations 2.	Ready to use	Merryn Horrocks	19/08/2020 09:30

There are 3 other versions that do you not have access to.

Question statement

You have a document that you want printed.

{name1}'s company charges ${b1} to set up the job, and ${m1} for each copy of the document printed.

{name2}'s company charges a ${b2} to set up the job, and ${m2} for each copy of the document printed.

Your secretary prepared the following graph to illustrate this information, but {they1} did not give the axes meaningful names, and forgot to label the lines.

{geogebra_applet('https://www.geogebra.org/m/uky4vz3z',defs)}

Give any introductory information the student needs.

			Name	Type	Generated Value

person1	dict	Dictionary with 3 entries
neutral1	boolean	false
name1	string	Niamh
they1	string	she
their1	string	her
theirs1	string	hers
them1	string	her
themself1	string	herself
s1	string	s
neutral2	boolean	false
name2	string	Phoebe
they2	string	she
their2	string	her
theirs2	string	hers
them2	string	her
themself2	string	herself
s2	string	s
person2	dict	Dictionary with 3 entries
people	list	List of 30 items

			Name	Type	Generated Value

			whichperson	integer	2
			gymwins	integer	0

			Name	Type	Generated Value

m1	integer	1
m2	integer	4
b1	integer	19
b2	integer	4
xmax	integer	10
ymax	integer	29
defs	list	Nested 8×2 list

			Name	Type	Generated Value

px	integer	5
n	integer	10
n2	integer	7

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
people[0]

JME function reference

Description

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

Can an exam override the value of this variable?

Generated value: `dict`

[ "gender": safe("female"), "name": safe("Niamh"), "pronouns": [ "they": safe("she"), "their": safe("her"), "theirs": safe("hers"), "them": safe("her"), "themself": safe("herself") ] ]

← Depends on:

people

→ Used by:

name1
neutral1
neutral2
their1
theirs1
them1
themself1
they1

Choose one from a list

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

What is an appropriate label for the $x$ -axis?

Show choice feedback state?

Show correct answer on reveal?

Show score feedback icon?

Advanced settings

Selection type

Number of display columns

(not displayed in columns)

Custom marking matrix?

number of documents

Marks: Distractor Message:
cost ($)

Marks: Distractor Message:
best number of documents to print

Marks: Distractor Message:
Cheapest printing costs ($)

Marks: Distractor Message:

Advice

The two variables that are linearly related are number of documents and cost. Number of documents is the independent variable, so it should be on the horizontal axis, and cost should be on the vertical axis.

The black line represents the costs of using {name1}'s company because this line has a $y$-intercept at {b1}, which matches the setup costs for {name1}'s company.

If you intend to print {n} copies of the document, the cheaper option is to use {name1}'s company because this line has a lower value at the point where $x=\var{n}$ the cheaper option is to use {name2}'s company because this line has a lower value at the point where $x=\var{n}$ it doesn't matter which option you choose because the cost is the same.

The least number of documents for which it is cheaper to use {name1}'s company is {px+gymwins}. This is the first $x$-axis value for which the {name1} company line is below the {name2} company line.

The greatest number of documents for which it is cheaper to use {name2}'s company is {px+gymwins}. This the last $x$-axis value for which the {name2} company line is below the {name1} company line.

{px} visits are required for the costs to be equal for the two companies. This is the point at which the two lines intersect, and the cost is \${m2*px+b2}.

The cost of printing {n2} document at {name1}'s company can be read from the graph using the {name1} company line. This is equal to \${m1*n2+b1}.

The cost of printing {n2} documents at {name2}'s company can be read from the graph using the {name2} company line. This is equal to \${m2*n2+b2}.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is not used in any exams.

Loading...

Error

word problem using graphical simultaneous equations 2.

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Merryn Horrocks 4 years, 7 months ago

Merryn Horrocks 4 years, 7 months ago

Merryn Horrocks 4 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `dict`

Parts

Choose one from a list

Advanced settings

Loading...

Error

word problem using graphical simultaneous equations 2.

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Merryn Horrocks 4 years, 7 months ago

Merryn Horrocks 4 years, 7 months ago

Merryn Horrocks 4 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: dict

Parts

Choose one from a list

Advanced settings

Generated value: `dict`