Number, NAPX-I4-NC30 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

667

Question

Ziggy rents a hang glider from a hire company.

The cost to rent the hang glider is directly proportional to the number of minutes between the original hire time and when it is returned.

Ziggy's rental cost for 3 hours and 20 minutes is $92.50.

What will be Ziggy's rental cost if he returns the hang glider after 60 minutes?

Worked Solution

Rental cost per minute
= 92.50200\dfrac{92.50}{200}
= 46.25 cents

∴\therefore Cost for 60 minutes
= 60 × 46.25
= $27.75

Question Type

Answer Box

Variables

Variable nameVariable value
question
Ziggy rents a hang glider from a hire company. The cost to rent the hang glider is directly proportional to the number of minutes between the original hire time and when it is returned. Ziggy's rental cost for 3 hours and 20 minutes is $92.50. What will be Ziggy's rental cost if he returns the hang glider after 60 minutes?
workedSolution
sm_nogap Rental cost per minute
>>||| |-|-| ||= $\dfrac{92.50}{200}$| ||= 46.25 cents|

sm_nogap $\therefore$ Cost for 60 minutes
>>||| |-|-| ||= 60 × 46.25| ||= {{{prefix0}}}{{{correctAnswer0}}}|
correctAnswer0
27.75
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer027.75

$

Variant 1

DifficultyLevel

678

Question

Brett rents a sailing boat from a boat rental shop.

The cost to rent the sailing boat is directly proportional to the number of minutes between the original hire time and when it is returned.

Brett's rental cost for 1 hours and 50 minutes is $82.50.

What will be Brett's rental cost if he returns the sailing boat after 60 minutes?

Worked Solution

Rental cost per minute
= 82.50110\dfrac{82.50}{110}
= 75 cents

∴\therefore Cost for 60 minutes
= 60 × 0.75
= $45.00

Question Type

Answer Box

Variables

Variable nameVariable value
question
Brett rents a sailing boat from a boat rental shop. The cost to rent the sailing boat is directly proportional to the number of minutes between the original hire time and when it is returned. Brett's rental cost for 1 hours and 50 minutes is $82.50. What will be Brett's rental cost if he returns the sailing boat after 60 minutes?
workedSolution
sm_nogap Rental cost per minute
>>||| |-|-| ||= $\dfrac{82.50}{110}$| ||= 75 cents|

sm_nogap $\therefore$ Cost for 60 minutes
>>||| |-|-| ||= 60 × 0.75| ||= {{{prefix0}}}{{{correctAnswer0}}}|
correctAnswer0
45.00
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer045.00

$

Variant 2

DifficultyLevel

678

Question

Rhonda rents a stand-up paddle board from a surf shop.

The cost to rent the stand-up paddle board is directly proportional to the number of minutes between the original hire time and when it is returned.

Rhonda's rental cost for 1 hours and 10 minutes is $31.50

What will be Rhonda's rental cost if she returns the stand-up paddle board after 45 minutes?

Worked Solution

Rental cost per minute
= 31.5070\dfrac{31.50}{70}
= 45 cents

∴\therefore Cost for 45 minutes
= 45 × 0.45
= $20.25

Question Type

Answer Box

Variables

Variable nameVariable value
question
Rhonda rents a stand-up paddle board from a surf shop. The cost to rent the stand-up paddle board is directly proportional to the number of minutes between the original hire time and when it is returned. Rhonda's rental cost for 1 hours and 10 minutes is $31.50 What will be Rhonda's rental cost if she returns the stand-up paddle board after 45 minutes?
workedSolution
sm_nogap Rental cost per minute
>>||| |-|-| ||= $\dfrac{31.50}{70}$| ||= 45 cents|

sm_nogap $\therefore$ Cost for 45 minutes
>>||| |-|-| ||= 45 × 0.45| ||= {{{prefix0}}}{{{correctAnswer0}}}|
correctAnswer0
20.25
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer020.25

$

Variant 3

DifficultyLevel

663

Question

Donald rents an e-scooter on the Gold Coast.

The cost to rent the e-scooter is directly proportional to the number of minutes Donald uses it.

Donald's rental cost for 2 hours and 10 minutes is $45.50.

What will be Donald's rental cost if he uses the e-scooter for only 30 minutes?

Worked Solution

Rental cost per minute
= 45.50130\dfrac{45.50}{130}
= 35 cents

∴\therefore Cost for 30 minutes
= 30 × 0.35
= $10.50

Question Type

Answer Box

Variables

Variable nameVariable value
question
Donald rents an e-scooter on the Gold Coast. The cost to rent the e-scooter is directly proportional to the number of minutes Donald uses it. Donald's rental cost for 2 hours and 10 minutes is $45.50. What will be Donald's rental cost if he uses the e-scooter for only 30 minutes?
workedSolution
sm_nogap Rental cost per minute
>>||| |-|-| ||= $\dfrac{45.50}{130}$| ||= 35 cents|

sm_nogap $\therefore$ Cost for 30 minutes
>>||| |-|-| ||= 30 × 0.35| ||= {{{prefix0}}}{{{correctAnswer0}}}|
correctAnswer0
10.50
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer010.50

$

Variant 4

DifficultyLevel

661

Question

Duff rents an e-bike in Dubbo to explore the town.

The cost to rent the e-bike is directly proportional to the number of minutes Duff uses it.

Duff's rental cost for 3 hours and 30 minutes is $100.80.

What will be Duff's rental cost if he uses the e-bike for only 60 minutes?

Worked Solution

Rental cost per minute
= 100.80210\dfrac{100.80}{210}
= 48 cents

∴\therefore Cost for 60 minutes
= 60 × 0.48
= $28.80

Question Type

Answer Box

Variables

Variable nameVariable value
question
Duff rents an e-bike in Dubbo to explore the town. The cost to rent the e-bike is directly proportional to the number of minutes Duff uses it. Duff's rental cost for 3 hours and 30 minutes is $100.80. What will be Duff's rental cost if he uses the e-bike for only 60 minutes?
workedSolution
sm_nogap Rental cost per minute
>>||| |-|-| ||= $\dfrac{100.80}{210}$| ||= 48 cents|

sm_nogap $\therefore$ Cost for 60 minutes
>>||| |-|-| ||= 60 × 0.48| ||= {{{prefix0}}}{{{correctAnswer0}}}|
correctAnswer0
28.80
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer028.80

$

Variant 5

DifficultyLevel

659

Question

Boonie parks in Launceston while he visits a cricket bat factory.

The cost to park is directly proportional to the number of minutes Boonie leaves his car there.

Boonie's rental cost for 1 hour and 20 minutes is $5.20.

What would Boonie's parking cost have been if he parked for only 50 minutes?

Worked Solution

Parking cost per minute
= 5.2080\dfrac{5.20}{80}
= 6.5 cents

∴\therefore Cost for 50 minutes
= 50 × 0.065
= $3.25

Question Type

Answer Box

Variables

Variable nameVariable value
question
Boonie parks in Launceston while he visits a cricket bat factory. The cost to park is directly proportional to the number of minutes Boonie leaves his car there. Boonie's rental cost for 1 hour and 20 minutes is $5.20. What would Boonie's parking cost have been if he parked for only 50 minutes?
workedSolution
sm_nogap Parking cost per minute
>>||| |-|-| ||= $\dfrac{5.20}{80}$| ||= 6.5 cents|

sm_nogap $\therefore$ Cost for 50 minutes
>>||| |-|-| ||= 50 × 0.065| ||= {{{prefix0}}}{{{correctAnswer0}}}|
correctAnswer0
3.25
prefix0
$
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer03.25

$

Tags

  • nap_nc