A map of a park has a scale factor of 0.4 inch : 100 feet. On the map, the distance between the playground andthe pavilion is 5 inches. What is the actual distance between the playground and the pavilion?

Answer: [tex]1,250\ ft[/tex]Step-by-step explanation: You need to analize the information provided in the exercise. You know that the scale factor of the map is: [tex]0.4\ in:100\ ft[/tex] Let be "x" the actual distance (in feet) between the playground and the pavilion . Knowing that, in the map, these distance is 5 inches, you can write the following proportion in order to find the actual distance "x" between the playground and the pavilion: [tex]\frac{100\ ft}{0.4\ in}=\frac{x}{5\ in}[/tex] Therefore, solving for "x", you get that this is: [tex](5\ in)(\frac{100\ ft}{0.4\ in})=x\\\\x=1,250\ ft[/tex] The actual distance between the playground and the pavilion is [tex]1,250\ ft[/tex]