Algebra, NAPX-E4-NC22 SA

Question

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Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

662

Question

Rex is a lettuce grower and the cost of fertilising different crop areas is shown in the table below.


size of crop area (m2^2) 20 60 80 90 100
cost of fertilising ($) 1800 5400 7200 8100 9000


Complete the rule that agrees with the values in the table.

Worked Solution

Taking the values in the 1st column:
Cost of fertilising = cost of 1 m² × area of crop
= 180020\dfrac{1800}{20} × area of crop
= 90 × area of crop

Question Type

Answer Box

Variables

Variable nameVariable value
question
Rex is a lettuce grower and the cost of fertilising different crop areas is shown in the table below.
>>| size of crop area (m$^2$) | 20 |60|80|90|100| |:-:|:-:|:-:|:-:|:-:|:-:| | cost of fertilising ($) | 1800|5400|7200|8100|9000

Complete the rule that agrees with the values in the table.
workedSolution
Taking the values in the 1st column:
| | | | ------------: | ---------- | | Cost of fertilising | \= cost of 1 m² × area of crop | | | \= $\dfrac{1800}{20}$ × area of crop | | | \= {{{correctAnswer0}}} × area of crop |
correctAnswer0
90
prefix0
cost of fertilising crop =
suffix0
$\times$ area of crop

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
correctAnswer090

cost of fertilising crop =

×\times area of crop

Variant 1

DifficultyLevel

664

Question

Elie grows saffron commercially. The cost of harvesting different crop areas is summarised in the table below.


size of crop area (m2^2) 30 50 80 100
cost of harvesting ($) 2550 4250 6800 8500


Complete the rule that agrees with the values in the table.

Worked Solution

Taking the values in the 1st column:
Cost of harvesting = cost of 1 m² × area of crop
= 255030\dfrac{2550}{30} × area of crop
= 85 × area of crop

Question Type

Answer Box

Variables

Variable nameVariable value
question
Elie grows saffron commercially. The cost of harvesting different crop areas is summarised in the table below.
>>| size of crop area (m$^2$) | 30 |50|80|100| |:-:|:-:|:-:|:-:|:-:| | cost of harvesting ($) | 2550|4250|6800|8500

Complete the rule that agrees with the values in the table.
workedSolution
Taking the values in the 1st column:
| | | | ------------: | ---------- | | Cost of harvesting | \= cost of 1 m² × area of crop | | | \= $\dfrac{2550}{30}$ × area of crop | | | \= {{{correctAnswer0}}} × area of crop |
correctAnswer0
85
prefix0
cost of fertilising crop =
suffix0
$\times$ area of crop

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
correctAnswer085

cost of fertilising crop =

×\times area of crop

Variant 2

DifficultyLevel

662

Question

Denise grows pumpkins and recorded the cost of fertilising different crop areas in the table below.


size of crop area (m2^2) 20 50 90 120
cost of fertilising ($) 1300 3250 5850 7800


Complete the rule that agrees with the values in the table.

Worked Solution

Taking the values in the 1st column:
Cost of fertilising = cost of 1 m² × area of crop
= 130020\dfrac{1300}{20} × area of crop
= 65 × area of crop

Question Type

Answer Box

Variables

Variable nameVariable value
question
Denise grows pumpkins and recorded the cost of fertilising different crop areas in the table below.
>>| size of crop area (m$^2$) | 20|50|90|120| |:-:|:-:|:-:|:-:|:-:| | cost of fertilising ($) |1300|3250|5850|7800|

Complete the rule that agrees with the values in the table.
workedSolution
Taking the values in the 1st column:
| | | | ------------: | ---------- | | Cost of fertilising | \= cost of 1 m² × area of crop | | | \= $\dfrac{1300}{20}$ × area of crop | | | \= {{{correctAnswer0}}} × area of crop |
correctAnswer0
65
prefix0
cost of fertilising crop =
suffix0
$\times$ area of crop

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
correctAnswer065

cost of fertilising crop =

×\times area of crop

Variant 3

DifficultyLevel

660

Question

Bertie is a market gardener and the cost of cultivating different crop areas is shown in the table below.


size of crop area (m2^2) 15 30 50 80 110
cost of cultivating ($) 1530 3060 5100 8160 11220


Complete the rule that agrees with the values in the table.

Worked Solution

Taking the values in the 1st column:
Cost of cultivating = cost of 1 m² × area of crop
= 153015\dfrac{1530}{15} × area of crop
= 102 × area of crop

Question Type

Answer Box

Variables

Variable nameVariable value
question
Bertie is a market gardener and the cost of cultivating different crop areas is shown in the table below.
>>| size of crop area (m$^2$) | 15 |30|50|80|110| |:-:|:-:|:-:|:-:|:-:|:-:| | cost of cultivating ($) | 1530|3060|5100|8160|11220

Complete the rule that agrees with the values in the table.
workedSolution
Taking the values in the 1st column:
| | | | ------------: | ---------- | | Cost of cultivating | \= cost of 1 m² × area of crop | | | \= $\dfrac{1530}{15}$ × area of crop | | | \= {{{correctAnswer0}}} × area of crop |
correctAnswer0
102
prefix0
cost of fertilising crop =
suffix0
$\times$ area of crop

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
correctAnswer0102

cost of fertilising crop =

×\times area of crop

Variant 4

DifficultyLevel

658

Question

Genie is a macadamia nut grower and the cost of harvesting different crop areas is shown in the table below.


size of crop area (m2^2) 25 40 65 90
cost of harvesting ($) 4125 6600 10 725 14 850


Complete the rule that agrees with the values in the table.

Worked Solution

Taking the values in the 1st column:
Cost of harvesting = cost of 1 m² × area of crop
= 412525\dfrac{4125}{25} × area of crop
= 165 × area of crop

Question Type

Answer Box

Variables

Variable nameVariable value
question
Genie is a macadamia nut grower and the cost of harvesting different crop areas is shown in the table below.
>>| size of crop area (m$^2$) | 25 |40|65|90| |:-:|:-:|:-:|:-:|:-:| | cost of harvesting ($) | 4125|6600|10 725|14 850|

Complete the rule that agrees with the values in the table.
workedSolution
Taking the values in the 1st column:
| | | | ------------: | ---------- | | Cost of harvesting | \= cost of 1 m² × area of crop | | | \= $\dfrac{4125}{25}$ × area of crop | | | \= {{{correctAnswer0}}} × area of crop |
correctAnswer0
165
prefix0
cost of fertilising crop =
suffix0
$\times$ area of crop

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
correctAnswer0165

cost of fertilising crop =

×\times area of crop

Variant 5

DifficultyLevel

656

Question

Bella is a blueberry grower and the cost of fertilising different crop areas is shown in the table below.


size of crop area (m2^2) 80 110 150 160
cost of fertilising ($) 1680 2310 3150 3360


Complete the rule that agrees with the values in the table.

Worked Solution

Taking the values in the 1st column:
Cost of fertilising = cost of 1 m² × area of crop
= 168080\dfrac{1680}{80} × area of crop
= 21 × area of crop

Question Type

Answer Box

Variables

Variable nameVariable value
question
Bella is a blueberry grower and the cost of fertilising different crop areas is shown in the table below.
>>| size of crop area (m$^2$) | 80 |110|150|160| |:-:|:-:|:-:|:-:|:-:| | cost of fertilising ($) | 1680|2310|3150|3360|

Complete the rule that agrees with the values in the table.
workedSolution
Taking the values in the 1st column:
| | | | ------------: | ---------- | | Cost of fertilising | \= cost of 1 m² × area of crop | | | \= $\dfrac{1680}{80}$ × area of crop | | | \= {{{correctAnswer0}}} × area of crop |
correctAnswer0
21
prefix0
cost of fertilising crop =
suffix0
$\times$ area of crop

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
correctAnswer021

cost of fertilising crop =

×\times area of crop

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