Question

1. which inequality represents this situation?

the number of students, s, who ride in a bus can be up to 30.
ⓐ ( s < 30 )
ⓑ ( s > 30 )
ⓒ ( s geq 30 )
ⓓ ( s leq 30 )

Explanation:

Step1: Understand the situation

The number of students \( s \) who ride in a bus can be up to 30. "Up to 30" means the number of students can be 30 or less than 30.

Step2: Analyze the inequalities

• Option A: \( s < 30 \) means the number of students is strictly less than 30 (cannot be 30), so this is incorrect.
• Option B: \( s > 30 \) means the number of students is more than 30, which is opposite to the situation, so this is incorrect.
• Option C: \( s \geq 30 \) means the number of students is 30 or more than 30, which is opposite to the situation, so this is incorrect.
• Option D: \( s \leq 30 \) means the number of students is 30 or less than 30, which matches the situation "can be up to 30".

Answer:

D. \( s \leq 30 \)