20219

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

582

Question

Surf Grommets charge an hourly rate for surfing lessons and add a one-off charge of $45 for insurance.

The overall cost (C)(C) is represented by the formula, C=30hC = 30\large h + 45, where h\large h is the number of hours of lessons.

Mark has 11 hours of lessons with Surf Grommets.

How much does he pay?

Worked Solution
Cost = 30h30\large h + 45
= 30 ×\times 11 + 45
= $375

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Surf Grommets charge an hourly rate for surfing lessons and add a one-off charge of \$45 for insurance. The overall cost $(C)$ is represented by the formula, $C = 30\large h$ + 45, where $\large h$ is the number of hours of lessons. Mark has 11 hours of lessons with Surf Grommets. How much does he pay?
workedSolution
| | | | ------------------------------: | ----------------------------------- | | Cost |= $30\large h$ + 45 | | |= 30 $\times$ 11 + 45| | |= {{{correctAnswer}}} |
correctAnswer
\$375

Answers

Is Correct?Answer
x

$86

x

$330

✓

$375

x

$825

Variant 1

DifficultyLevel

584

Question

An online tutoring school charges an hourly rate for tuition and adds a one-off administration charge of $50.

The overall cost (C)(C) is represented by the formula, C=25hC = 25\large h + 50, where h\large h is the number of hours of tuition.

Mitch has 15 hours of online tuition.

How much does he pay?

Worked Solution
Cost = 25h\large h + 50
= 25 ×\times 15 + 50
= $425

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
An online tutoring school charges an hourly rate for tuition and adds a one-off administration charge of \$50. The overall cost $(C)$ is represented by the formula, $C = 25\large h$ + 50, where $\large h$ is the number of hours of tuition. Mitch has 15 hours of online tuition. How much does he pay?
workedSolution
| | | | ------------------------------: | ----------------------------------- | | Cost |= 25$\large h$ + 50 | | |= 25 $\times$ 15 + 50| | |= {{{correctAnswer}}} |
correctAnswer
\$425

Answers

Is Correct?Answer
x

$375

✓

$425

x

$775

x

$1875

Variant 2

DifficultyLevel

586

Question

A physiotherapist charges an hourly rate for services and adds a one-off charge for remedial massage of $80.

The overall cost (C)(C) is represented by the formula, C=70hC = 70\large h + 80, where h\large h is the number of hourly sessions taken.

Brendan has 4 hours of physiotherapy sessions booked.

How much does he pay?

Worked Solution
Cost = 70h\large h + 80
= 70 ×\times 4 + 80
= $360

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A physiotherapist charges an hourly rate for services and adds a one-off charge for remedial massage of \$80. The overall cost $(C)$ is represented by the formula, $C = 70\large h$ + 80, where $\large h$ is the number of hourly sessions taken. Brendan has 4 hours of physiotherapy sessions booked. How much does he pay?
workedSolution
| | | | ------------------------------: | ----------------------------------- | | Cost |= 70$\large h$ + 80 | | |= 70 $\times$ 4 + 80| | |= {{{correctAnswer}}} |
correctAnswer
\$360

Answers

Is Correct?Answer
x

$600

x

$390

✓

$360

x

$150

Variant 3

DifficultyLevel

588

Question

A cat boarding house charges a daily rate for boarding and adds a one-off administration charge of $40.

The overall cost (C)(C) is represented by the formula, C=52dC = 52\large d + 40, where d\large d is the number of days board booked.

Della is booking her cat in for 7 days of boarding.

How much does she pay?

Worked Solution
Cost = 52d\large d + 40
= 52 ×\times 7 + 40
= $404

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A cat boarding house charges a daily rate for boarding and adds a one-off administration charge of \$40. The overall cost $(C)$ is represented by the formula, $C = 52\large d$ + 40, where $\large d$ is the number of days board booked. Della is booking her cat in for 7 days of boarding. How much does she pay?
workedSolution
| | | | ------------------------------: | ----------------------------------- | | Cost |= 52$\large d$ + 40 | | |= 52 $\times$ 7 + 40| | |= {{{correctAnswer}}} |
correctAnswer
\$404

Answers

Is Correct?Answer
x

$644

✓

$404

x

$332

x

$92

Variant 4

DifficultyLevel

587

Question

A golf driving range charges a fee per bucket of balls and adds a one-off charge of $5 for golf clubs if you don't have your own.

The overall cost (C)(C) is represented by the formula, C=10bC = 10\large b + 5, where b\large b is the number of buckets used.

Stuart purchases 3 buckets of balls and hires golf clubs.

How much does he pay?

Worked Solution
Cost = 10b\large b + 5
= 10 ×\times 3 + 5
= $35

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A golf driving range charges a fee per bucket of balls and adds a one-off charge of \$5 for golf clubs if you don't have your own. The overall cost $(C)$ is represented by the formula, $C = 10\large b$ + 5, where $\large b$ is the number of buckets used. Stuart purchases 3 buckets of balls and hires golf clubs. How much does he pay?
workedSolution
| | | | ------------------------------: | ----------------------------------- | | Cost |= 10$\large b$ + 5 | | |= 10 $\times$ 3 + 5| | |= {{{correctAnswer}}} |
correctAnswer
\$35

Answers

Is Correct?Answer
x

$5

x

$15

x

$25

✓

$35

Variant 5

DifficultyLevel

592

Question

A wedding venue charges an hourly rate for weddings and add a one-off charge of $250 for cleaning.

The overall cost (C)(C) is represented by the formula, C=189hC = 189\large h + 250, where h\large h is the number of hours of venue use.

Romeo and Juliet have booked the venue for 5 hours.

How much will they pay?

Worked Solution
Cost = 189h\large h + 250
= 189 ×\times 5 + 250
= $1195

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A wedding venue charges an hourly rate for weddings and add a one-off charge of \$250 for cleaning. The overall cost $(C)$ is represented by the formula, $C = 189\large h$ + 250, where $\large h$ is the number of hours of venue use. Romeo and Juliet have booked the venue for 5 hours. How much will they pay?
workedSolution
| | | | ------------------------------: | ----------------------------------- | | Cost |= 189$\large h$ + 250 | | |= 189 $\times$ 5 + 250| | |= {{{correctAnswer}}} |
correctAnswer
\$1195

Answers

Is Correct?Answer
✓

$1195

x

$945

x

$439

x

$305

Tags

  • ms_ca