A:
2 inches - 25 miles
x inches - 60 miles
Set up a proportion:
[tex]\frac{2}{25} = \frac{x}{60} \\ \\
\frac{2}{25} \times 60=x \\ \\
\frac{120}{25}=x \\ \\
x=4.8[/tex]
4.8 inches on the map represent 60 miles.
B:
2 inches - 25 miles
1/4 inches - x miles
Set up a proportion:
[tex]\frac{2}{25}=\frac{\frac{1}{4}}{x} \\ \\
\frac{2}{25}x=\frac{1}{4} \\ \\
x=\frac{1}{4} \times \frac{25}{2} \\ \\
x=\frac{25}{8} \\ \\
x=3.125[/tex]
3.125 miles are represented by 1/4 inches on the map.
