50144

Question

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Worked Solution

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Variant 0

DifficultyLevel

631

Question

This graph shows a company's profit over a four year period.



Which conclusion can be reached from the graph?

Worked Solution

Important to note the profit (y-axis) in this graph starts at $20 000, not zero.

The lowest profit in any year in this graph is $25 000.
∴\therefore Profits were greater than $20 000 in the period
between Year 1 and Year 4.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This graph shows a company's profit over a four year period.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-J4-CA192.svg 435 indent vpad
Which conclusion can be reached from the graph?
workedSolution
Important to note the profit (y-axis) in this graph starts at $20 000, not zero. sm_nogap The lowest profit in any year in this graph is $25 000.
| | | | --------------------: | -------------- | | $\therefore$ | Profits were greater than \$20 000 in the period | | | between Year 1 and Year 4. |
correctAnswer
The profits were greater than \$20 000 in the period between Year 1 and Year 4.

Answers

Is Correct?Answer
x

The profit in Year 2 was double of the profit in Year 1.

x

The profit in Year 4 was one quarter the profit in Year 3.

x

The profits were positive in Years 2 and 3, and negative in Years 1 and 4.

✓

The profits were greater than $20 000 in the period between Year 1 and Year 4.

Variant 1

DifficultyLevel

633

Question

This graph shows a company's profit over a five year period.



Which conclusion can be reached from the graph?

Worked Solution

Important to note that profits (on the y-axis) in this table begin at $20 000, not zero.
∴\therefore The profits were greater than $35 000 in Year 1, Year 3 and Year 5.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This graph shows a company's profit over a five year period.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_50144_v1.svg 435 indent3 vpad
Which conclusion can be reached from the graph?
workedSolution
sm_nogap Important to note that profits (on the y-axis) in this table begin at \$20 000, not zero.
| | | | --------------------: | -------------- | | $\therefore$ | {{{correctAnswer}}} |
correctAnswer
The profits were greater than \$35 000 in Year 1, Year 3 and Year 5.

Answers

Is Correct?Answer
✓

The profits were greater than $35 000 in Year 1, Year 3 and Year 5.

x

The profit in Year 3 was one third the profit in Year 1.

x

The profit in Year 1 was double of the profit in Year 2.

x

The profits were positive in Years 3 and 5, and negative in Years 2 and 4.

Variant 2

DifficultyLevel

635

Question

This graph shows a company's profit over a five year period.



Which conclusion can be reached from the graph?

Worked Solution

Important to note that profits (y-axis) on this graph begin at $10 000, not zero.

By testing each option:

Consider option 2

Profit in year 4 = $50 000

Profit in year 1 = $25 000 = 12 ×\dfrac{1}{2}\ \times $50 000
∴\therefore The profit in Year 1 was half the profit in Year 4.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This graph shows a company's profit over a five year period.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_50144_v2.svg 435 indent vpad
Which conclusion can be reached from the graph?
workedSolution
Important to note that profits (y-axis) on this graph begin at \$10 000, not zero. By testing each option: Consider option 2 Profit in year 4 = $50 000 Profit in year 1 = \$25 000 = $\dfrac{1}{2}\ \times$ $50 000
| | | | --------------------: | -------------- | | $\therefore$ | {{{correctAnswer}}}
correctAnswer
The profit in Year 1 was half the profit in Year 4.

Answers

Is Correct?Answer
x

The profits were greater than $25 000 in all years except Year 5.

✓

The profit in Year 1 was half the profit in Year 4.

x

The profit in Year 5 was one sixth of the profit in Year 2.

x

The profits were positive in Years 2 and 4, and negative in Years 3 and 5.

Variant 3

DifficultyLevel

637

Question

This graph shows a company's profit over a five year period.



Which conclusion can be reached from the graph?

Worked Solution

Important to note that profits (y-axis) on this graph begin at $6000, not zero.

By testing each option:

Consider option 3

Profit in year 5 = $15 000

Profit in year 1 = $30 000 = 2 ×\times $15 000
∴\therefore The profits of Year 1 are twice the profits of year 5.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This graph shows a company's profit over a five year period.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_50144_v3_1.svg 435 indent vpad
Which conclusion can be reached from the graph?
workedSolution
Important to note that profits (y-axis) on this graph begin at \$6000, not zero. By testing each option: Consider option 3 Profit in year 5 = $15 000 Profit in year 1 = \$30 000 = 2 $\times$ \$15 000
| | | | --------------------: | -------------- | | $\therefore$ | {{{correctAnswer}}} |
correctAnswer
The profits of Year 1 are twice the profits of year 5.

Answers

Is Correct?Answer
x

The profits in year 5 are negative.

x

The profits from Year 1 added to the profits of Year 5 equal the profits of year 2.

✓

The profits of Year 1 are twice the profits of year 5.

x

The increase in profit from Year 1 to Year 2 is the same as the increase in profit from Year 2 to Year 3.

Variant 4

DifficultyLevel

642

Question

This graph shows a company's profit over a five year period.



Which conclusion can be reached from the graph?

Worked Solution

Important to note that profits (y-axis) on this graph begin at $15 000, not zero.

By testing each option:

Consider option 4

Profit increase Y1 to Y2 = 60 000 −- 25 000 = $35 000

Profit decrease Y4 to Y5 = 70 000 −− 35 000 = $35 000
∴\therefore The increase in profit from Year 1 to Year 2 is the same as
the decrease in profit from Year 4 to Year 5.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This graph shows a company's profit over a five year period.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_50144_v4.svg 435 indent vpad
Which conclusion can be reached from the graph?
workedSolution
Important to note that profits (y-axis) on this graph begin at \$15 000, not zero. By testing each option: Consider option 4 Profit increase Y1 to Y2 = 60 000 $-$ 25 000 = $35 000 Profit decrease Y4 to Y5 = 70 000 $−$ 35 000 = $35 000
| | | | --------------------: | -------------- | | $\therefore$ | The increase in profit from Year 1 to Year 2 is the same as| | | the decrease in profit from Year 4 to Year 5. |
correctAnswer
The increase in profit from Year 1 to Year 2 is the same as the decrease in profit from Year 4 to Year 5.

Answers

Is Correct?Answer
x

The profits of Year 5 are twice the profits of year 1.

x

The profit in year 1 is negative.

x

The profits from Year 1 added to the profits of Year 2 equal the profits of year 4.

✓

The increase in profit from Year 1 to Year 2 is the same as the decrease in profit from Year 4 to Year 5.

Variant 5

DifficultyLevel

644

Question

This graph shows a company's profit over a five year period.



Which conclusion can be reached from the graph?

Worked Solution

Important to note that profits (y-axis) on this graph begin at $50 000, not zero.

By testing each option:

Consider option 4
Mean Profit = 80 000+95 000+60 000+110 000+105 0005\dfrac{80\ 000+95\ 000+60\ 000+110\ 000+105\ 000}{5}
= $90 000

∴\therefore The average profit for the 5 years is $90 000.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This graph shows a company's profit over a five year period.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_50144_v5.svg 450 indent vpad
Which conclusion can be reached from the graph?
workedSolution
Important to note that profits (y-axis) on this graph begin at \$50 000, not zero. By testing each option: sm_nogap Consider option 4
| | | | --------------------: | -------------- | | Mean Profit |= $\dfrac{80\ 000+95\ 000+60\ 000+110\ 000+105\ 000}{5}$ || | |= $90 000| | || $\therefore$ {{{correctAnswer}}}
correctAnswer
The average profit for the 5 years is $90 000.

Answers

Is Correct?Answer
x

The profits were greater than $65 000 in all years.

x

The profit in Year 3 was one third the profit in Year 1.

x

The profit in Year 3 was negative.

✓

The average profit for the 5 years is $90 000.

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