ANNEXURE D shows a strip chart from Pretoria to Windhoek - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2
Question 3
ANNEXURE D shows a strip chart from Pretoria to Windhoek.
A couple with two adult children (both females), from Johannesburg, plan a holiday and decide to go to Win... show full transcript
Worked Solution & Example Answer:ANNEXURE D shows a strip chart from Pretoria to Windhoek - NSC Mathematical Literacy - Question 3 - 2017 - Paper 2
Step 1
How many kilometres do they travel to Windhoek?
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the total distance traveled to Windhoek, calculate the following:
From Pretoria to Johannesburg: 58 km
From Johannesburg to Lobatse: 279 km
From Lobatse to Maun: 455 km
From Maun to Moremi Wildlife Reserve: 232 km
From Moremi Wildlife Reserve to Ghanzi: 280 km
From Ghanzi to Windhoek: 498 km
Adding these distances together gives:
58+279+455+232+280+498=1999 km
Thus, they travel a total of 1999 km to Windhoek.
Step 2
Apart from route A1, which other routes do they travel on from Johannesburg? Also, give the names of the countries where these routes are found.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The couple travels on the following routes apart from A1:
Route A2: Botswana
Route N4: South Africa
Route N3: South Africa
Route B6: Namibia
Step 3
At Moremi Wildlife Reserve there are two accommodation options:
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Option 1:
Accommodation cost: R 550 per night for 4 people
Total accommodation cost for 4 nights: R 2200
Total breakfast cost for 4: R 95 * 4 = R 380
Total amount spent: R 550 + R 380 = R 1930
Option 2:
Accommodation cost: R 550 per person for 4 people: R 2200
So, the couple stated they would save R 270, which is incorrect since the difference is R 270.
Step 4
If all self-catering units are still available when they are making their booking, determine the probability of getting a self-catering unit at no extra cost.
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the probability of getting a self-catering unit:
Total self-catering units: 5 accommodating 4 people + 3 accommodating 6 people = 8 units
Probability of getting a self-catering unit: P=85=62.5
Rounded to the nearest percentage: 63%.
Step 5
Verify the distance travelled claim.
97%
117 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Distances calculated:
For the couple:
Total distance: 58 + 279 + 455 + 232 + 280 + 498 = 1999 km
For Mr. and Mrs. Smith:
Distance traveled: 58 + 484 + 110 + 105 + 738 = 136 km
Calculating the difference: extDifference=1999−1536=463 km
This proves that the claim is valid.