BYLAE D toon 'n strookkaart vanaf Pretoria na Windhoek - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2
Question 3
BYLAE D toon 'n strookkaart vanaf Pretoria na Windhoek.
'n Partie met twee volwassen kinders (beide vroulik), van Johannesburg, beplan 'n vakanise en besluit om Win... show full transcript
Worked Solution & Example Answer:BYLAE D toon 'n strookkaart vanaf Pretoria na Windhoek - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2
Step 1
Hoeveel kilometer reis hulle na Windhoek?
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Answer
Die totale afstand na Windhoek van Johannesburg kan bereken word deur die afstand tussen Pretoria en Windhoek te somme, en die benutting van die strookkaart.
Total afstand = 58+279+445+455+232+303+280+49+498=2,199extkm
Step 2
Behalwe die A1-roete, watter ander roete gebruik hulle vanaf Johannesburg?
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Hulle gebruik die N1-roete na Suid-Afrika, waarna hulle via Botswana en Namibië voortreis.
Step 3
By die Moremi Wildreservaat is daar twee akkommodasie opsies: a) Wat is die totale koste as hulle vir 4 nagte bly?
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Vir Opsie 1: Akkommodasie = R1 550
Ontbyt = R95 x 4 = R380
Totale bedrag = R1 550 + R380 = R1 930.
Step 4
b) Wat is die verskil in koste tussen al twee opsies?
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Opsie 2: Akkommodasie + ontbyt = R550 x 4 = R2 200.
Verskil = R2 200 - R1 930 = R270. Hulle spaar R270 deur Opsie 1 te kies.
Step 5
Bereken die waarskynlikheid dat 'n selfsorgeneheid te kry teen ekstra koste.
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Waarskynlikheid = rac{5}{8} imes 100 = 62.5\%.
Step 6
Verifieer, indien moontlik, die bewering.
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Answer
Afstand vanaf Johannesburg = 58+279+445+105+105+738=1,736extkm. Verskil = 2,199−1,736=463extkm. Bewering is geldig indien dit gelyk is!