Nuru looks at a map on her phone. She zooms in until the map scale for centimeters to kilometers is \( 0.3: \frac{1}{5} \). How many centimeters does the map use to show 1 kilometer? A \( \frac{2}{3} \) B \( \frac{3}{5} \) C 0.06 D 1.5

To find out how many centimeters the map uses to show 1 kilometer, we need to interpret the scale given, which is \( 0.3: \frac{1}{5} \). This means that for every \( 0.3 \) centimeters on the map, it represents \( \frac{1}{5} \) kilometers in reality. First, we need to convert \( \frac{1}{5} \) kilometers into centimeters. Since 1 kilometer is equal to 100,000 centimeters, we can calculate: \[ \frac{1}{5} \text{ kilometers} = \frac{1}{5} \times 100,000 \text{ centimeters} = 20,000 \text{ centimeters} \] Now we have the scale: \[ 0.3 \text{ cm} : 20,000 \text{ cm} \] To find out how many centimeters correspond to 1 kilometer (which is 100,000 cm), we can set up a proportion based on the scale: \[ \frac{0.3 \text{ cm}}{20,000 \text{ cm}} = \frac{x \text{ cm}}{100,000 \text{ cm}} \] Cross-multiplying gives us: \[ 0.3 \times 100,000 = 20,000 \times x \] Calculating \( 0.3 \times 100,000 \): \[ 30,000 = 20,000 \times x \] Now, divide both sides by 20,000 to solve for \( x \): \[ x = \frac{30,000}{20,000} = 1.5 \] Thus, the map uses **1.5 centimeters** to show 1 kilometer. The correct answer is: **D 1.5**