12) Justin is creating a map using the scale is I centimeter \( =15 \) kilometers. What should the distance be on the map between two parks that are 13.5 kilometers apart?

To find the distance on the map between two parks that are 13.5 kilometers apart, we need to use the scale provided by Justin. Given scale: 1 centimeter = 15 kilometers To find the distance on the map, we can set up a proportion using the scale and the actual distance between the parks. Let \( x \) be the distance on the map between the two parks. Using the proportion: \[ \frac{1 \text{ cm}}{15 \text{ km}} = \frac{x \text{ cm}}{13.5 \text{ km}} \] Now, we can solve for \( x \) to find the distance on the map. Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{1}{15}=\frac{x}{13.5}\) - step1: Divide the terms: \(\frac{1}{15}=\frac{2x}{27}\) - step2: Swap the sides: \(\frac{2x}{27}=\frac{1}{15}\) - step3: Multiply both sides of the equation by \(27:\) \(\frac{2x}{27}\times 27=\frac{1}{15}\times 27\) - step4: Multiply the terms: \(2x=\frac{27}{15}\) - step5: Divide the terms: \(2x=\frac{9}{5}\) - step6: Multiply by the reciprocal: \(2x\times \frac{1}{2}=\frac{9}{5}\times \frac{1}{2}\) - step7: Multiply: \(x=\frac{9}{10}\) The distance on the map between the two parks should be 0.9 centimeters.