A line in a map represents a distance of 12 km . The line is 15 cm long. What is the scale of the map? \( \begin{array}{l}1: 100,000 \\ 1: 80,000 \\ 1: 60,000 \\ 1: 120,000\end{array} \)

To find the scale of the map, you first need to understand the relationship between the real distance and the distance on the map. The line on the map is 15 cm long and represents 12 km in reality. To convert km to cm, remember that 1 km equals 100,000 cm. Therefore, 12 km is 1,200,000 cm. Now, you can set up the scale: \(\text{Scale} = \frac{\text{Distance on the map}}{\text{Real distance}} = \frac{15 \text{ cm}}{1,200,000 \text{ cm}} = \frac{1}{80,000}\). So, the scale of the map is 1:80,000! Now, if you picked up a map of the world, you’d be surprised how small the actual distances seem in compare to the vastness of the continents! Maps use scales to help you visualize just how much ground you're covering. It’s not just numbers—it’s your gateway to planning epic road trips or hiking adventures! And if you ever find yourself scratching your head over map scales, you're not alone! A common mistake is forgetting to convert measurements into the same units. Always ensure your distances on the map and in reality are using the same units before calculating the scale. A little bit of unit conversion can save you from major navigational mishaps!