Santa's elves equation of a straight line

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Chris Graham

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Chris Graham

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Needs to be tested

7 years, 3 months ago

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Chris Graham 7 years, 3 months ago

Gave some feedback: Needs to be tested

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Chris Graham 7 years, 3 months ago

Created this as a copy of Numbas demo: Motion under gravity.

Name	Status	Author	Last Modified
Numbas demo: Motion under gravity	Ready to use	Christian Lawson-Perfect	05/10/2021 10:04
Liz's copy of Numbas demo: Motion under gravity	draft	Liz Thompson	03/02/2021 13:59
Ethan's copy of Numbas demo: Motion under gravity	draft	Ethan Smith	03/02/2021 13:59
Harry's copy of Numbas demo: Motion under gravity	draft	Harry Flynn	03/02/2021 13:59
Santa's elves equation of a straight line	Needs to be tested	Chris Graham	03/02/2021 13:59
Numbas demo: Motion under gravity	draft	Xiaodan Leng	03/02/2021 13:59
Alan's copy of Numbas demo: Motion under gravity	draft	Alan Levine	03/02/2021 13:59
Numbas demo: Images, videos and interactive diagrams	Ready to use	Christian Lawson-Perfect	24/08/2023 08:17
GEMIDDELD: Valbeweging van een balletje	draft	Alexander Holvoet	02/06/2024 14:36

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Question statement

Note that this question is randomised, including the graph (try clicking "Try another question like this one"), and that you get a preview of the answer when you type in an expression. One more thing: the correct answer is written in terms of the variable n, go on try a different letter, like x, it separates the validation from the marking to help you out.

Santa is reviewing the personnel requirements for the North Pole's UK division. He requires {c} elves to do the basic administrative jobs, plus {m} elves for every 1 million children, to manage toy making and the like.

Give any introductory information the student needs.

			Name	Type	Generated Value

			c	integer	60
			m	integer	25

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(30..60#10)

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: `integer`

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Mathematical expression
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1. Step Information only

Gap-fill

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

There are roughly 11 million children in the UK. How many elves does Santa need?

Unnamed gap elves

Advice

a)

The number of elves Santa requires is

$({m}\times 11) + {c} \text{.}$

b)

The equation of a straight line is traditionally written

$y = mx+c\text{,}$

where $m$ is the gradient of the line, and $c$ the intercept with the y axis.

In our case, the variables are labelled $E$ and $n$ (rather than $y$ and $x$ respectively). The intercept $c$ is the number of elves required for $0$ children, i.e. the base number, $\var{c}$ . And the gradient $m$ is the number of elves required for each unit $n$ , which is given as $\var{m}$ .

Therefore the equation of Santa's line is

$E(n) = \var{m}x + \var{c}\text{.}$

To learn more about the equation of a straight line, here is Professor Robin Johnson solving a slightly trickier problem:

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Number entry
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Gap-fill
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Mathematical expression
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Information only

This question is used in the following exams:

NUTELA Christmas Demo by Chris Graham in Demos.
Irene's copy of NUTELA Christmas Demo by Irene Paniccia in Irene's workspace.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Chris Graham 7 years, 3 months ago

Chris Graham 7 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

a)

b)

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Santa's elves equation of a straight line

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Chris Graham 7 years, 3 months ago

Chris Graham 7 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

a)

b)

Generated value: `integer`