Photo AI
3.1 "Strip charts is a very useful tool when travelling between two locations." Explain why strip charts is a useful tool - NSC Mathematical Literacy - Question 3 - 2016 - Paper 2
Question 3
3.1 "Strip charts is a very useful tool when travelling between two locations." Explain why strip charts is a useful tool. 3.1.2 How far is it from Pretoria to... show full transcript
Worked Solution & Example Answer:3.1 "Strip charts is a very useful tool when travelling between two locations." Explain why strip charts is a useful tool - NSC Mathematical Literacy - Question 3 - 2016 - Paper 2
Step 1
Explain why strip charts is a useful tool.
Answer
Strip charts are particularly useful for a number of reasons:
- They illustrate a specific route, allowing travelers to understand their journey path comprehensively.
- They highlight places that can be passed through, ensuring that travelers are aware of potential stops along their way.
- By providing distances between locations, strip charts assist in planning and estimating travel times.
- They indicate places where one might stop for rest or refueling, critical for long journeys.
- Lastly, they often show the shortest route available, which can save both time and fuel.
Step 2
Step 3
Compare with the necessary calculations Jean's petrol cost for her trip from Harare and comment on the differences.
Answer
The distance from Johannesburg to Harare can be calculated as follows:
Total distance = 532 km + 446 km = 978 km.
For her vehicle, Jean consumes 7.5 liters per 100 km. The total liters required for the trip can be calculated:
ext{Liters needed} = rac{7.5 ext{ liters}}{100} imes 978 ext{ km} = 73.35 ext{ liters}
The fuel price on 23 February 2016 was R 891.20 per 15 liters:
ext{Cost} = rac{73.35 ext{ liters}}{15} imes R891.20 = R 851.18
On 2 March 2016, the price dropped to R 840.59 for 11.46 liters, making her total cost for that date:
ext{Cost} = rac{73.35 ext{ liters}}{11.46} imes R 840.59 = R 536.67
The difference in cost is then calculated as:
This represents the decrease in petrol costs from February to March.
Step 4
Mention TWO other costs evident from the map that Jean must also consider.
Answer
- Fees for traveling through toll plazas or toll ramps are an important consideration, as these can add to the total cost of the trip.
- Border post fees should also be factored in, as there may be charges incurred when crossing international borders.