Algebra, NAPX-E4-CA14

Question

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Worked Solution

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Variant 0

DifficultyLevel

601

Question

Alex has a job selling bikes. Her weekly salary, CC dollars, is calculated using the rule below:

C=400+0.06WC=400+0.06W

where WW is the total value in dollars of the bikes she sells that week.

Alex sold $24 000 worth of bikes in a given week.

What was Alex's salary in the week?

Worked Solution
CC = 400 + (0.06 ×\times 24 000)
= $1840

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Alex has a job selling bikes. Her weekly salary, $C$ dollars, is calculated using the rule below: ` `$C=400+0.06W$ where $W$ is the total value in dollars of the bikes she sells that week. Alex sold $24 000 worth of bikes in a given week. What was Alex's salary in the week?
workedSolution
| | | | ------------- | ---------- | | $C$ | \= 400 + (0.06 $\times$ 24 000) | | | \= {{{correctAnswer}}} |
correctAnswer
$1840

Answers

Is Correct?Answer
x

$1040

✓

$1840

x

$14 400

x

$14 800

Variant 1

DifficultyLevel

603

Question

Zac works in the electronics department of JB HiFi.

His weekly salary, DD dollars, is calculated using the rule below:

D=500+0.03ED=500+0.03E

where EE is the total value in dollars of the electronics products he sells that week.

Zac sold $52 000 worth of electronics in a given week.

What was Zac's salary in the week?

Worked Solution
DD = 500 + (0.03 ×\times 52 000)
= 500 + 1560
= $2060

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Zac works in the electronics department of JB HiFi. His weekly salary, $D$ dollars, is calculated using the rule below: ` `$D=500+0.03E$ where $E$ is the total value in dollars of the electronics products he sells that week. Zac sold $52 000 worth of electronics in a given week. What was Zac's salary in the week?
workedSolution
| | | | ------------- | ---------- | | $D$ | \= 500 + (0.03 $\times$ 52 000) | | | \= 500 + 1560 | | | \= {{{correctAnswer}}} |
correctAnswer
$2060

Answers

Is Correct?Answer
x

$1560

✓

$2060

x

$15 600

x

$16 100

Variant 2

DifficultyLevel

610

Question

Lilli works in clothes shop.

Her weekly salary, WW dollars, is calculated using the rule below:

W=300+0.08SW=300+0.08S

where SS is the total value in dollars of the clothes she sells that week.

Lilli earned $860 in a given week.

What was the value of the clothes that Lilli sold in the week?

Worked Solution
WW = 300 + (0.08 ×\times SS)
860 = 300 + 0.08SS
0.08SS = 560
SS = 5600.08\dfrac{560}{0.08}
= $7000

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lilli works in clothes shop. Her weekly salary, $W$ dollars, is calculated using the rule below: ` `$W=300+0.08S$ where $S$ is the total value in dollars of the clothes she sells that week. Lilli earned $860 in a given week. What was the value of the clothes that Lilli sold in the week?
workedSolution
| | | | -------------: | ---------- | | $W$ | \= 300 + (0.08 $\times$ $S$) | | 860 | \= 300 + 0.08$S$ | | 0.08$S$| \= 560 | | $S$ | \= $\dfrac{560}{0.08}$| | | \= {{{correctAnswer}}} |
correctAnswer
$7000

Answers

Is Correct?Answer
x

$700

x

$1075

✓

$7000

x

$10 750

Variant 3

DifficultyLevel

612

Question

Trevor works in dive shop.

His weekly salary, DD dollars, is calculated using the rule below:

D=480+0.06ED=480+0.06E

where EE is the total value in dollars of the diving equipment he sells that week.

Trevor earned $1200 in a given week.

What was the value of the diving equipment Trevor sold in the week?

Worked Solution
DD = 480 + (0.06 ×\times EE)
1200 = 480 + 0.06EE
0.06EE = 720
EE = 7200.06\dfrac{720}{0.06}
= $12 000

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Trevor works in dive shop. His weekly salary, $D$ dollars, is calculated using the rule below: ` `$D=480+0.06E$ where $E$ is the total value in dollars of the diving equipment he sells that week. Trevor earned $1200 in a given week. What was the value of the diving equipment Trevor sold in the week?
workedSolution
| | | | -------------: | ---------- | | $D$ | \= 480 + (0.06 $\times$ $E$) | | 1200| \= 480 + 0.06$E$ | | 0.06$E$| \= 720 | | $E$ | \= $\dfrac{720}{0.06}$| | | \= {{{correctAnswer}}} |
correctAnswer
$12 000

Answers

Is Correct?Answer
x

$1200

x

$2000

✓

$12 000

x

$20 000

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