10. What is the scale factor if a 6" by 14" photograph is enlargedto a poster that is 2 ft. by 4.67 ft.?

The scale factor of the first side is from 6" to 2 ft so:
[tex]6"\cdot\frac{1}{12}\frac{ft}{"}=\frac{1}{2}ft[/tex]so the factor is:
[tex]\frac{2}{\frac{1}{2}}=4[/tex]now for the other side:
[tex]14"\cdot\frac{1}{12}\frac{ft}{"}=\frac{7}{6}ft[/tex]so the factor is:
[tex]\frac{4.67}{\frac{7}{6}}=4[/tex]So the scale factor is: 4