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Np MaA ht 1996 Directions Test period Week 48 - 51 1996. Test time According to the l ocal s chool, b ut a t l east 6 0 minutes (during normal class time). Resources Decided locally by the school. Tes t ma te ri al The te st ma te ri al sh ou ld be han de d in to geth er wi th your sol uti ons . Write your name, gymnasium programme/adult education and date of birth on the papers you hand in. The test The open-solutions part c ontains two alternative problems of which you will choose one problem. The questions in the problem can be such that you will have to decide between possible interpretations. You should present the assumptions which form the basis for your computations and conclusions. A partial, but not completed, solution presentation can provide a basis for positive evaluation. For each problem, there is a description of what the teacher will consi- der when evaluating your work. If anything is unclear, ask your teacher. Working me thods The teac he r re sponsibl e wi ll i nf or m you o f the di ff er ent working methods which are allowed for the open-solutions part of the test. Presentation of the solutions to the problems is to be done indiviually. This material is confidential until the end of March 1997.

NpMaA Bredd Eng Ht96

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Np MaA ht 1996

Directions

Test period Week 48 - 51 1996.

Test time According to the local school, but at least 60 minutes (during normal

class time).

Resources Decided locally by the school.

Test material The test material should be handed in together with your solutions.

Write your name, gymnasium programme/adult education and date of 

birth on the papers you hand in.

The test The open-solutions part contains two alternative problems of which

you will choose one problem.

The questions in the problem can be such that you will have to decidebetween possible interpretations. You should present the assumptions

which form the basis for your computations and conclusions.

A partial, but not completed, solution presentation can provide a basis

for positive evaluation.

For each problem, there is a description of what the teacher will consi-

der when evaluating your work.

If anything is unclear, ask your teacher.

Working methods The teacher responsible will inform you of the different working

methods which are allowed for the open-solutions part of the test.

Presentation of the solutions to the problems is to be done indiviually.

This material is confidential until the end of March 1997.

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Np MaA ht 1996

2. Car statistics

Åsa has been given an assignment by the newspaper to write an article on howprices of used cars vary. She has chosen the Volvo 245 and BMW 300-series

for her investigation. In an advertisement magazine, she found the prices fordifferent cars of different year models. The prices are listed in the tables below.She now needs your help.

VOLVO 245 BMW 300

Year of model Price(kr)

1992 156 000

179 000198 000

167 000

1991 149 000

105 000

112 000

136 000

1990 78 000

94 000

80 000

1989 63 000

75 000

74 000

77 500

89 000

1988 59 500

52 500

65 000

60 000

65 000

1987 49 000

48 00045 000

59 000

55 000

50 000

1986 45 000

44 000

42 000

1985 40 000

39 000

42 000

Year of model Price(kr)

1992 79 900

96 0001991 93 000

94 000

77 000

59 000

1990 89 000

66 900

67 000

1989 66 000

1988 42 000

60 000

65 000

35 000

1987 49 000

45 000

37 000

1986 35 500

29 500

36 000

40 000

40 000

37 0001985 38 000

34 000

25 000

32 500

20 000

32 500

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Np MaA ht 1996

•  For the purpose of Åsa´s assignment, show the prices for the different yearmodels of Volvo 245 in an appropiate diagram.

•  Åsa has heard that ”on the average the price of Volvos decreased with 8 000

kr each year.”  Does this ”rule of thumb” agree with the values which are included in the in-vestigation?

•  Can you find a similar or another ”rule of thumb” for the BMW?•  If you were going to buy one of the car models, how could this investiga-

tion be of help to you?

When assessing your work, the teacher will consider the following:

•  how clear, informative, and distinct your diagrams are.

•  how well you motivate if the ”rule of thumb” for Volvo agrees with the investi-gation or not.

•  how well you motivate your ”rule of thumb” for the BMW or the absence of a”rule of thumb” .

•  How well you describe your usage of the investigation.