MATHEMATICAL LITERACY GRADE 12

MATHEMATICAL LITERACY GRADE 12

Assignment 1

2018

TERM 1 SCHOOL BASED ASSESSMENT TASK

TOPIC: Finance and Data Handling

MARKS: 50

WEIGHTED MARK: 10

SUGGESTED TIME: 60 Minutes

INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the ANNEXURE to answer QUESTION 1.1 3. Number the answers correctly according to the numbering system used in this question paper. 4. Start EACH question on a NEW page. 5. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 6. Show ALL calculations clearly. 7. Round off ALL final answers appropriately according to the context, unless stated otherwise. 8. Indicate units of measurement, where applicable. 9. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise. 10. Write neatly and legibly.

QUESTION 1

1.1

An elderly couple, Mr and Mrs Kemp, want to hire a caravan for a camping holiday.

They got quotations to hire the caravans from two companies namely Rent-a-Van and

Holiday Fun.

Rent-a-Van : R750 per day

Holiday Fun : A once-off fee of R3 000 and a further R400 per day

Refer to the graph on ANNEXURE A provided. The graph indicates the cost structure of one of the companies.

1.1.1 Which company's cost structure is represented on the graph?

Give tworeasons for your answer.

(3)

1.1.2 Explain why this graph is represented by a series of points instead of a

straight line.

(2)

1.1.3 Sketch a graph on the set of axes provided on the ANNEXURE A to show the

cost of renting a caravan from the other company.

(4)

1.1.4 If D represents number of days, then write a general expression that represents

the cost of hiring a caravan from:

(2)

a. Rent-a-Van company

Cost = (2)

b. Holiday Fun

Cost = (3)

1.1.5 Which company is cheaper if the caravan is hired for 9 days? Calculate using

of the formulas in Question 1.1.4 to support your answer.

(4)

Page 2 of 5

1.2 The Kemp's set out for a 10 night holiday. They budget was as follows:

Petrol Cost Caravan Park Fees Food Entertainment Caravan Hire

R1200 R? R? R4 000 R7 400

Breakdown of Expenses

Petrol

6% Food

Carvan Park Fees 20%

Entertai nment 22%

Carvan Hiring

Fees 40%

Further breakdown of Food Expenses

0%

0%

Restaur ants 25%

Selfcaterin

g

1.2.1 Calculate how much money the Kemps have budgeted for

entertainment per night if he has to spend the same amount every night.

(2)

1.2.2 If the cost of petrol is R12,79 per litre and their car's average consumption is

12 litre per 100 km. Would they be able to travel a total distance of 700 km if

they only budgeted R1 000 for petrol? Show all your working.

(5)

1.2.3 For how many days should they hire the caravan if they have to spend 10

nights at the caravan park? Give reason for your answer.

(2)

1.2.4 Which hiring company (Rent-a-Van or Holiday Fun) did the Kemps use for

their holiday? Justify your answer with calculations.

(5)

1.2.5 If the total budget is R18 600 for the entire holiday, calculate the amount of

money that has been set aside for eating out at restaurants.

(5)

Page 3 of 5

1.3 The graph below illustrates the monthly bookings of Rhino Caravan Park.

The cost per night at Rhino Caravan Park for a site is R150. Pensioners get a 30% discount.

1.3.1

Why do you think that there is no pensioner bookings for the month of

December?

(2)

1.3.2

Show that pensioners only pay R105 a night for a caravan site.

(2)

1.3.3

Every month, the caravan park has fixed expenses of R65 000 and a

further expense of R35 for every site booked. Determine the profit

the caravan park had during the month of February. Show ALL

working.

(9)

[50]

Page 4 of 5

ANNEXURE A QUESTION 1.1

HIRING COST

Page 5 of 5

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