This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Analyze Question 1.1. A number scale of 1:80\,000 means that one unit of distance on the map represents 80\,000 of the same units of distance in reality. • Option A states "1 unit on the map, represents 80 000 units in reality." This is a correct general interpretation. • Option B states "1cm on the map, represents 80 000 cm in reality." This is a correct specific interpretation. Since both A and B are correct, the most comprehensive answer is C. The correct option is C. Step 2: Analyze Question 1.2. The map scale is 1:80\,000. The distance on the map is 18 cm. This means 1 cm on the map represents 80\,000 cm in reality. To find the actual distance in cm: Actual distance = 18 cm × 80\,000 Actual distance = 1\,440\,000 cm Now, convert centimeters to kilometers. We know that 1 m = 100 cm and 1 km = 1\,000 m. So, 1 km = 1\,000 × 100 cm = 100\,000 cm. To convert 1\,440\,000 cm to km: Actual distance in km = 1\,440\,000 cm100\,000 cm/km Actual distance in km = 14.4 km The correct option is A. Step 3: Analyze Question 1.3. Examine the bar scale provided. The bar scale shows segments representing 0m, 1m, 2m, and 4m. Below the bar, there is a ruler marking in centimeters. The segment from 0m to 1m on the bar corresponds to 1 cm on the ruler marking. This means that 1 cm on the map represents 1 m in reality. • Option A states "1cm on the map, represents 1m in reality." This matches our observation. • Option B states "5cm on the map, represents 4m in reality." If 1cm represents 1m, then 5cm would represent 5m. So, B is incorrect. • Option C states "1m on the map, represents 1cm in reality." This is the inverse and incorrect. The correct option is A. Step 4: Analyze Question 1.4. Locate Port Elizabeth (bottom left) and Mbombela (top right) on the map. Trace the major national roads originating from Port Elizabeth. The N2 runs along the coast, heading east. The N10 heads north-east, inland from Port Elizabeth. To travel from Port Elizabeth to Mbombela, the N10 is the first national road that leads in the general direction of Mbombela. The N4 is a road further north, connecting to Mbombela, but it is not the first road from Port Elizabeth. The correct option is B. Final Answers: 1.1. The correct option is C. 1.2. The correct option is A. 1.3. The correct option is A. 1.4. The correct option is B. Send me the next one 📸