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# ### Webpage Title: Scale and Distance: Mapping and Analyzing South Africa and Neighbors **Page Summary:** Explore the concept of scale on maps, identify neighboring countries of South Africa, and us

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Question: Kamogelo is looking for a cheapest option for airtime and data. She can afford to spend R150 per month. She then compared the deals of two service providers given in TABLE 3 below. TABLE 3: DEALS OF TWO SERVICE PROVIDERS Deal 1 Deal 2  You pay R109 p.m. for 24 months.  You get R150 airtime per month.  You pay 40c per MB of data, 50c per SMS and 80c per voice minute.  You pay R100 month-to-month and get R200 airtime.  You pay R0,99 per MB of data, R0,50 per SMS and R0,89 per voice minute. Use the information above to answer the questions that follow. 2.3.1 Write down the monthly payment for Deal 1. (2) 2.3.2 On average, Kamogelo uses 170 MB of data and 90 voice minutes in a month. Which deal will be a better option for her? Justify your answer using calculations. (6) Below is a map of Soth Africa and its neighbouring countries. A MAP OF SOUTH AFRICA AND NEIGHBOURING COUNRTIES Use the information above to answer the following questions: 3. 1 Explain the concept scale. (2) 3. 2 List any TWO counties found on the map. (2) 3. 3 Name the type of scale used on this map. (2) 3. 4 Measure the length of the scale used on the map. (2) 3. 5 Hence, use the scale to estimate the actual distance from Durban to Ladysmith. (3)

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Let's start with the calculations for Kamogelo's airtime and data options. ### 2.3.1 Monthly Payment for Deal 1 **Deal 1:** - R109 per month for 24 months. **Answer:** The monthly payment for Deal 1 is R109. ### 2.3.2 Better Deal for Kamogelo Let's calculate the total monthly cost for both deals given her usage of 170 MB of data and 90 voice minutes. **Deal 1:** - Monthly fee: R109 - 170 MB of data at 40c per MB: 170 MB * R0.40 = R68 - 90 voice minutes at 80c per minute: 90 * R0.80 = R72 Total cost for Deal 1: $\text{Total cost for Deal 1} = R109 + R68 + R72 = R249$ **Deal 2:** - Monthly fee: R100 - 170 MB of data at 99c per MB: 170 MB * R0.99 = R168.30 - 90 voice minutes at 89c per minute: 90 * R0.89 = R80.10 Total cost for Deal 2: $\text{Total cost for Deal 2} = R100 + R168.30 + R80.10 = R348.40$ **Conclusion:** Deal 1 is significantly cheaper for Kamogelo given her usage of 170 MB of data and 90 voice minutes per month. ### Questions on the Map of South Africa ### 3.1 Concept of Scale **Answer:** (2) The concept of scale refers to the relationship between distance on a map and the corresponding distance on the ground. It shows how much the real world is scaled down to fit on the map. ### 3.2 Two Countries Found on the Map **Answer:** (2) Two countries found on the map of South Africa are: 1. Namibia 2. Botswana ### 3.3 Type of Scale Used on the Map **Answer:** (2) The type of scale used on most maps is either a **linear scale** (a line marked with distances) or a **ratio scale** (e.g., 1:100,000). ### 3.4 Measure the Length of the Scale Used on the Map **Answer:** (2) To measure the length of the scale on a physical map, you would use a ruler to measure the scale line marked on the map. For the purpose of this exercise, actual measurement will depend on the provided map. ### 3.5 Estimate the Actual Distance from Durban to Ladysmith Assuming the scale provided on the map is: - Map scale ratio is 1:500,000 (Each 1 cm on the map represents 500,000 cm in reality, which converts to 5 km). If the distance between Durban and Ladysmith on the map measures, for example, 5 cm: **Calculations:** (3) - If 1 cm = 5 km - 5 cm * 5 km/cm = 25 km Hence, assuming a 5 cm measurement: **Answer:** The estimated actual distance from Durban to Ladysmith would be 25 km. *Note:* Final real-world distances will vary depending upon the actual measurements and scale provided on the specific map.

May 21, 2024, 7:26 a.m.

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