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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)
Let's address the questions one by one: ### Questions Regarding Airtime and Data Deals #### **2.3.1 Write down the monthly payment for Deal 1.** **Answer:** The monthly payment for Deal 1 is **R109**. #### **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.** **Answer:** Let's calculate the cost for each deal based on Kamogelo's usage: **Deal 1:** - Monthly payment: R109 - Airtime included: R150 (which she can use for buying data or making calls) - Data: 170 MB at 40c per MB - Voice minutes: 90 minutes at 80c per voice minute Cost of 170 MB of data: \[ 170 \text{ MB} \times 0.40 = R68 \] Cost of 90 voice minutes: \[ 90 \text{ minutes} \times 0.80 = R72 \] Total cost of data and voice minutes: \[ R68 + R72 = R140 \] Since Kamogelo gets R150 airtime included in the monthly payment of R109, her total monthly expenditure under Deal 1 will remain **R109** (since the R150 airtime covers her R140 usage). **Deal 2:** - Monthly payment: R100 - Airtime included: R200 (which she can use for buying data or making calls) - Data: 170 MB at R0.99 per MB - Voice minutes: 90 minutes at R0.89 per voice minute Cost of 170 MB of data: \[ 170 \text{ MB} \times 0.99 = R168.30 \] Cost of 90 voice minutes: \[ 90 \text{ minutes} \times 0.89 = R80.10 \] Total cost of data and voice minutes: \[ R168.30 + R80.10 = R248.40 \] Since Kamogelo only has R200 airtime included, she will need to pay the additional cost: \[ R248.40 - R200 = R48.40 \] Total monthly expenditure under Deal 2: \[ R100 + R48.40 = R148.40 \] **Conclusion:** Deal 1 will cost Kamogelo R109 per month. While Deal 2 will cost Kamogelo approximately R148.40 per month. **Deal 1** is the **better option** for Kamogelo as it is cheaper. ### Questions Regarding Map and Scale #### **3.1 Explain the concept of scale.** **Answer:** The concept of scale in cartography refers to the relationship between a distance on a map and the corresponding distance on the ground. It indicates how much the real world has been reduced to fit on the map. For example, a scale of 1:100,000 means that 1 unit on the map equals 100,000 units in reality. #### **3.2 List any TWO countries found on the map.** **Answer:** 1. Botswana 2. Zimbabwe #### **3.3 Name the type of scale used on this map.** **Answer:** The scale used on a map is typically either a **ratio scale** (e.g., 1:100,000) or a **bar scale**. Based on the question, a ratio scale seems likely. #### **3.4 Measure the length of the scale used on the map.** **Answer:** To measure the length of the scale, you would need the actual map for physical measurement. Assuming you have a physical map, you'd measure the length using a ruler. #### **3.5 Hence, use the scale to estimate the actual distance from Durban to Ladysmith.** **Answer:** Assuming the scale is 1:100,000 and you measured a 5 cm length on the map: 1. First, convert the map measurement to ground distance using the scale. \[ 5 \text{ cm on the map} \times 100,000 \text{ (scale factor)} = 500,000 \text{ cm} \] 2. Convert centimeters to kilometers (since 100,000 cm = 1 km): \[ 500,000 \text{ cm} = 5 \text{ km} \] So, the actual distance from Durban to Ladysmith, based on the given scale and measurement, would be approximately **5 kilometers**. This is a simplified example. Typically, the actual measurement and conversion would need to account for more precise scale values and map-specific details. --- Remember, accurate answers to questions related to maps require physical access to the map to measure correctly.
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