4x Ms. Remi is planning a dance recital for her students. The maximum duration for the recital is 120 minutes.Group dance performances last 8 minutes and solo dance performances last 3 minutes. x=the number of group dances on the program y=the number of solo dances on the program Which inequality in standard form represents this situation? A 3x+8ygeqslant 120 B 3x+8yleqslant 120 C 8x+3ygeqslant 120 D 8x+3yleqslant 120

To determine the correct inequality that represents the situation, we need to consider the total duration of the dance recital and the duration of each type of performance.<br /><br />Given:<br />- The maximum duration for the recital is 120 minutes.<br />- Group dance performances last 8 minutes each.<br />- Solo dance performances last 3 minutes each.<br /><br />Let \( x \) be the number of group dances and \( y \) be the number of solo dances.<br /><br />The total duration of the recital can be expressed as:<br />\[ 8x + 3y \]<br /><br />Since the total duration cannot exceed 120 minutes, the inequality representing this situation is:<br />\[ 8x + 3y \leq 120 \]<br /><br />Therefore, the correct answer is:<br />D. \( 8x + 3y \leq 120 \)