Answer:
0.7 inches.
Step-by-step explanation:
Let the distance between post office and the library on the map be x inches.
We have been given that the distance between two parks on a city map is 1.8 inches. The actual distance between the parks is 2 miles.
As proportions states that two fractions are equal, so we will use proportion to solve for the distance on the map corresponding to the real distance of 0.8 miles.
[tex]\frac{x}{1.8\text{ inches}}=\frac{\text{ 0.8 miles}}{\text{2 miles}}[/tex]
[tex]\frac{x}{1.8\text{ inches}}*1.8\text{ inches}=\frac{\text{ 0.8 miles}}{\text{2 miles}}*1.8\text{ inches}[/tex]
[tex]x=\frac{0.8}{2}*1.8\text{ inches}[/tex]
[tex]x=0.4*1.8\text{ inches}[/tex]
[tex]x=0.72\text{ inches}\approx 0.7\text{ inches}[/tex]
Therefore, the distance between the post office and library on the map is 0.7 inches.
