The scale is 1/2 to 7 feet. That means that for each half of an inch of the original picture, the scaled figure will have 7 feet.
Now,
[tex]1\text{ in = }\frac{1}{2}in\text{ +}\frac{1}{2}in.[/tex]That means that 1 inch corresponds to 7ft +7ft= 14ft.
Therefore, if my original figure is 1 inch in height the scaled picture will be 14 ft in height.
Answer: The scaled figure will fit in the billboard.