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Welkom is a town in the Free State - NSC Mathematical Literacy - Question 4 - 2019 - Paper 2
Question 4
Welkom is a town in the Free State. ANNEXURE A is a road map showing part of the streets in Welkom. The town is known for having many traffic circles. Use the infor... show full transcript
Worked Solution & Example Answer:Welkom is a town in the Free State - NSC Mathematical Literacy - Question 4 - 2019 - Paper 2
Step 1
Step 2
Explain how it is shown on the map that the road is actually situated above the railway line.
Answer
The map indicates that the road is situated above the railway line by showing the railway line as a dashed line, with the road depicted as a solid line that crosses over it, indicating that the road is at a higher elevation.
Step 3
Step 4
Describe the route that will be taken by a car entering the town on Stateway from the industrial area if it will be heading to the point in Dagbreek, marked X, passing by the city council building on the left.
Answer
Proceed straight along Stateway until you reach the City Council. At the City Council, turn right and continue until you reach Arrarat. Destination X is to the left side.
Step 5
Determine, by measurement, whether the map is drawn to scale.
Answer
To determine if the map is to scale, we calculate the scale based on the distances provided. The distance from Alfa to Engen is 500 m represented on the map as 5 mm. Therefore, 1 mm equals 100 m, giving a scale of 1:100, indicating the map is drawn to scale.
Step 6
Verify, with calculation, whether the car was travelling within the speed limit.
Answer
Using the formula Distance = Speed × Time, we rearrange to find Speed = Distance / Time. The distance is 4 km (or 4000 m) and the time is 5 minutes (or 5/60 hours).
Calculating:
Speed = 4000 m / (5/60) hours = 480 km/h.
Thus, the car's speed exceeds the limit.
Step 7
Verify whether her statement is valid.
Answer
To verify Lethu's probability statement, we calculate the number of traffic circles in Stateway compared to the total number of circles. If there are 3 out of 20 traffic circles in Stateway, the probability would be:
P(Stateway) = 3/20 = 0.15, confirming that her statement is valid.