Answer:
[tex]\frac{2}{3}[/tex] inches
Step-by-step explanation:
This is a scale problem.
The scale given is 3 miles (actual) = 1/2 inch (map)
Let's make this into 1 inches, so simplification.
If 3 mile = 1/2 inches, so that would make 6 miles = 1 inches.
Now, if 6 mi = 1 inch, how much would 4 miles be??
Let's set up a ratio and solve [let distance (in) of school to library be "x"]:
[tex]\frac{6}{1}=\frac{4}{x}[/tex]
Now, we cross multiply and solve:
[tex]\frac{6}{1}=\frac{4}{x}\\6x=4\\x=\frac{4}{6}=\frac{2}{3}[/tex]
Thus, distance on map would be [tex]\frac{2}{3}[/tex] inches
