We will solve as follows:
*First: We take the 7 integers and 1/2 inches into fraction notation, that is:
[tex]7\frac{1}{2}=\frac{14}{2}+\frac{1}{2}=\frac{15}{2}[/tex]*Second: We will use the conversion factor to solve, that is:
[tex]x=\frac{(\frac{15}{2})(100)}{3}\Rightarrow x=250[/tex]From this, we have that the cities are 250 miles apart approximately.