A student prepares two buffer solutions at \(25^\circ\text{C}\) by dissolving \(\text{CH}_3\text{COOH}\) (\(\text{p}K_a = 4.74\)) and \(\text{CH}_3\text{COONa}\) in distilled water, as summarized in the table below.

Buffer	Volume	\([\text{CH}_3\text{COOH}]\)	\([\text{CH}_3\text{COO}^-]\)	Initial \(\text{pH}\)
\(\text{X}\)	\(100.0\text{ mL}\)	\(0.50\text{ M}\)	\(0.50\text{ M}\)	\(4.74\)
\(\text{Y}\)	\(100.0\text{ mL}\)	\(0.050\text{ M}\)	\(0.050\text{ M}\)	\(4.74\)

The student adds \(1.0\text{ mL}\) of \(1.0\text{ M HCl(aq)}\) to each buffer solution. Which of the following correctly identifies the buffer that will experience the smaller change in \(\text{pH}\), and provides the correct justification?