Algebra, NAPX-I4-NC27 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

706

Question

Korin is saving to buy a Spiderman suit.

He created a table to keep track of his savings.


Number of months (x\large x) 3 6 8 10
Amount in savings account (y\large y) 250 340 400 460


Complete the rule for the linear relationship between the amount of money in Korin's savings account and the number of months of saving.

Worked Solution

When  x\ \large x = 3,  y\large y = 250
250 = × 3 + 160
= 250−1603\dfrac{250-160}{3}
= 30

Question Type

Answer Box

Variables

Variable nameVariable value
question
Korin is saving to buy a Spiderman suit. He created a table to keep track of his savings.
>| Number of months ($\large x$) |3|6|8|10| |:-:|:-:|:-:|:-:|:-:| | Amount in savings account ($\large y$)|250|340|400|460|

Complete the rule for the linear relationship between the amount of money in Korin's savings account and the number of months of saving.
workedSolution
When $\ \large x$ = 3,  $\large y$ = 250
| | | | ------------: | ---------- | | 250 | \= ` ` × 3 + 160 | | | | | | | | ` ` | \= $\dfrac{250-160}{3}$ | ||| | ` ` | \= {{{correctAnswer0}}} |
correctAnswer0
30
prefix0
$\large y$ =
suffix0
$\large x$ + 160

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
correctAnswer030

y\large y =

x\large x + 160

Variant 1

DifficultyLevel

707

Question

Hans is saving to buy a new lederhosen for Octoberfest celebrations.

He created a table to keep track of his savings.


Number of months (x\large x) 2 5 8 10
Amount in savings account (y\large y) 230 395 560 670


Complete the rule for the linear relationship between the amount of money in Hans' savings account and the number of months of saving.

Worked Solution

When  x\ \large x = 2,  y\large y = 230
230 = × 2 + 120
= 230−1202\dfrac{230-120}{2}
= 55

Question Type

Answer Box

Variables

Variable nameVariable value
question
Hans is saving to buy a new lederhosen for Octoberfest celebrations. He created a table to keep track of his savings.
>| Number of months ($\large x$) |2|5|8|10| |:-:|:-:|:-:|:-:|:-:| | Amount in savings account ($\large y$)|230|395|560|670|

Complete the rule for the linear relationship between the amount of money in Hans' savings account and the number of months of saving.
workedSolution
When $\ \large x$ = 2,  $\large y$ = 230
| | | | ------------: | ---------- | | 230 | \= ` ` × 2 + 120 | | | | | | | | ` ` | \= $\dfrac{230-120}{2}$ | ||| | ` ` | \= {{{correctAnswer0}}} |
correctAnswer0
55
prefix0
$\large y$ =
suffix0
$\large x$ + 120

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
correctAnswer055

y\large y =

x\large x + 120

Variant 2

DifficultyLevel

712

Question

Sara is saving up to purchase a new set of cloggs.

She created a table to keep track of her savings.


Number of months (x\large x) 3 5 8 10
Amount in savings account (y\large y) 46.75 63.25 88.00 104.50


Complete the rule for the linear relationship between the amount of money in Sara's savings account and the number of months of saving.

Worked Solution

When  x\ \large x = 3,  y\large y = 46.75
46.75 = × 3 + 22
= 46.75−223\dfrac{46.75-22}{3}
= 8.25

Question Type

Answer Box

Variables

Variable nameVariable value
question
Sara is saving up to purchase a new set of cloggs. She created a table to keep track of her savings.
>| Number of months ($\large x$) |3|5|8|10| |:-:|:-:|:-:|:-:|:-:| | Amount in savings account ($\large y$)|46.75|63.25|88.00|104.50|

Complete the rule for the linear relationship between the amount of money in Sara's savings account and the number of months of saving.
workedSolution
When $\ \large x$ = 3,  $\large y$ = 46.75
| | | | ------------: | ---------- | | 46.75 | \= ` ` × 3 + 22 | | | | | | | | ` ` | \= $\dfrac{46.75-22}{3}$ | ||| | ` ` | \= {{{correctAnswer0}}} |
correctAnswer0
8.25
prefix0
$\large y$ =
suffix0
$\large x$ + 22

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
correctAnswer08.25

y\large y =

x\large x + 22

Variant 3

DifficultyLevel

715

Question

Tiger is saving up to purchase a new set of golf clubs.

He created a table to keep track of his savings.


Number of months (x\large x) 2 4 7 9
Amount in savings account (y\large y) 420 660 1020 1260


Complete the rule for the linear relationship between the amount of money in Tiger's savings account and the number of months of saving.

Worked Solution

When  x\ \large x = 2,  y\large y = 420
420 = × 2 + 180
= 420−1802\dfrac{420-180}{2}
= 120

Question Type

Answer Box

Variables

Variable nameVariable value
question
Tiger is saving up to purchase a new set of golf clubs. He created a table to keep track of his savings.
>| Number of months ($\large x$) |2|4|7|9| |:-:|:-:|:-:|:-:|:-:| | Amount in savings account ($\large y$)|420|660|1020|1260|

Complete the rule for the linear relationship between the amount of money in Tiger's savings account and the number of months of saving.
workedSolution
When $\ \large x$ = 2,  $\large y$ = 420
| | | | ------------: | ---------- | | 420 | \= ` ` × 2 + 180 | | | | | | | | ` ` | \= $\dfrac{420-180}{2}$ | ||| | ` ` | \= {{{correctAnswer0}}} |
correctAnswer0
120
prefix0
$\large y$ =
suffix0
$\large x$ + 180

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
correctAnswer0120

y\large y =

x\large x + 180

Variant 4

DifficultyLevel

717

Question

Axl is saving up to purchase a new piano.

He created a table to keep track of his savings.


Number of months (x\large x) 3 6 8 10
Amount in savings account (y\large y) 1706 3512 4716 5920


Complete the rule for the linear relationship between the amount of money in Axl's savings account and the number of months of saving.

Worked Solution

When  x\ \large x = 3,  y\large y = 1706
1706 = × 3 −- 100
= 1706+1003\dfrac{1706+100}{3}
= 602

Question Type

Answer Box

Variables

Variable nameVariable value
question
Axl is saving up to purchase a new piano. He created a table to keep track of his savings.
>| Number of months ($\large x$) |3|6|8|10| |:-:|:-:|:-:|:-:|:-:| | Amount in savings account ($\large y$)|1706|3512|4716|5920|

Complete the rule for the linear relationship between the amount of money in Axl's savings account and the number of months of saving.
workedSolution
When $\ \large x$ = 3,  $\large y$ = 1706
| | | | ------------: | ---------- | | 1706 | \= ` ` × 3 $-$ 100 | | | | | | | | ` ` | \= $\dfrac{1706+100}{3}$ | ||| | ` ` | \= {{{correctAnswer0}}} |
correctAnswer0
602
prefix0
$\large y$ =
suffix0
$\large x$ $-$ 100

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
correctAnswer0602

y\large y =

x\large x −- 100

Variant 5

DifficultyLevel

719

Question

Jet is saving up to travel overseas.

He created a table to keep track of his savings.


Number of months (x\large x) 2 4 7 10
Amount in savings account (y\large y) 381 812 1458.50 2105


Complete the rule for the linear relationship between the amount of money in Jet's savings account and the number of months of saving.

Worked Solution

When  x\ \large x = 2,  y\large y = 381
381 = × 2 −- 50
= 381+502\dfrac{381+50}{2}
= 215.50

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jet is saving up to travel overseas. He created a table to keep track of his savings.
>| Number of months ($\large x$) |2|4|7|10| |:-:|:-:|:-:|:-:|:-:| | Amount in savings account ($\large y$)|381|812|1458.50|2105|

Complete the rule for the linear relationship between the amount of money in Jet's savings account and the number of months of saving.
workedSolution
When $\ \large x$ = 2,  $\large y$ = 381
| | | | ------------: | ---------- | | 381 | \= ` ` × 2 $-$ 50 | | | | | | | | ` ` | \= $\dfrac{381+50}{2}$ | ||| | ` ` | \= {{{correctAnswer0}}} |
correctAnswer0
215.50
prefix0
$\large y$ =
suffix0
$\large x$ $-$ 50

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
correctAnswer0215.50

y\large y =

x\large x −- 50

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