Solution:
Given that Samuel purchased half a dozen cupcakes for $4.25, this implies that
To determine the price for 34 cupcakes, let y represent the price for 34 cupcakes.
This implies that
To solve for y, we have
![\begin{gathered} 6\text{ cupcakes}\Rightarrow\$\text{4.25} \\ 34\text{ cupcakes}\Rightarrow\$\text{y} \\ cross-multiply, \\ 6\text{ cupcakes}*\$\text{y=34 cupcakes}*\$\text{4.25} \\ divid\text{e both sides by 6 cupcakes,} \\ \frac{6\text{ }cupcakes*\operatorname{\$}y}{6\text{ cupcakes}}\text{=}\frac{34\text{ }cupcakes*\operatorname{\$}4.25}{6\text{ cupcakes}} \\ \Rightarrow y=(4.25)/(6)*34 \end{gathered}]()
Hence, the expression that could be used to determine the price for 34 cupcakes is 4.25 divided by 6 times 34