We know that
• The scale for the map is 1/8 inches = 12 miles.
,• The distance on the map is 1 7/8 inches.
First, we transform the mixed fraction into a fraction.
[tex]1\frac{7}{8}=\frac{1\cdot8+7}{8}=\frac{8+7}{8}=\frac{15}{8}[/tex]So the distance on the map is 15/8 inches.
If 1/8 inches is equivalent to 12 miles, then we can form the following proportion.
[tex]\frac{\frac{1}{8}in}{\frac{15}{8}in}=\frac{12mi}{x}[/tex]We solve for x.
[tex]\begin{gathered} \frac{1\cdot8}{15\cdot8}=\frac{12}{x} \\ \frac{1}{15}=\frac{12}{x} \\ x=\frac{12\cdot15}{1} \\ x=180mi \end{gathered}[/tex]