A map is drawn with the scale \( 17 \mathrm{~cm}=50 \mathrm{~km} \). How long would 240 km appear on the map?

To find out how long 240 km would appear on the map, we can set up a proportion using the given scale. We know that \( 17 \mathrm{~cm} \) represents \( 50 \mathrm{~km} \). To find the length on the map for \( 240 \mathrm{~km} \), we can use the ratio: \[ \frac{17 \mathrm{~cm}}{50 \mathrm{~km}} = \frac{x \mathrm{~cm}}{240 \mathrm{~km}} \] Cross-multiplying gives us: \[ 17 \mathrm{~cm} \times 240 \mathrm{~km} = 50 \mathrm{~km} \times x \mathrm{~cm} \] Calculating this yields: \[ 4080 = 50x \] Now, divide both sides by 50: \[ x = \frac{4080}{50} = 81.6 \mathrm{~cm} \] Thus, \( 240 \mathrm{~km} \) would appear as \( 81.6 \mathrm{~cm} \) on the map.