To find the scale factor Leo used to enlarge the jewelry design from the original size to the size of the photograph, you can use the formula for the scale factor:
\[ \text{Scale Factor} = \frac{\text{New Size}}{\text{Original Size}} \]
In this case, the original side length is 3 centimeters, and the new side length is 8 centimeters. Substituting the values:
\[ \text{Scale Factor} = \frac{8 \text{ cm}}{3 \text{ cm}} = \frac{8}{3} \]
To express \(\frac{8}{3}\) as a mixed number, it can be converted:
\[ \frac{8}{3} = 2 \frac{2}{3} \]
Thus, the scale factor used to create the photograph from the original is:
2 2/3 (Response).