Question

1. which inequality represents this situation? the number of students, s, who ride in a bus can be up to 30. (a) s < 30 (b) s > 30 (c) s ≥ 30 (d) s ≤ 30 2. the maximum weight, w, that an elevator can hold is 2,200 pounds. which inequality represents the situation? (a) w ≥ 2,200 (b) w > 2,200 (c) w ≤ 2,200 (d) w < 2,200 3. simon’s longest jumping distance is 2 inches longer than 3 feet. travis says that he can jump farther than simon because he can jump 38 inches. select all the statements that are true. ☐ simon can jump farther than travis. ☐ travis can jump farther than simon. ☑ simon can jump 38 inches. ☑ travis can jump 38 inches. ☑ simon and travis can jump the same distance. 4. the record for the most rolls of wrapping paper sold for the school fundraiser is 593. let w be the number of rolls of wrapping paper sold. tell if each inequality represents a number that would beat the school record. | | beats record | does not beat record | |---|---|---| | w = 593 | ☐ | ☑ | | w > 593 | ☑ | ☐ | | w ≤ 593 | ☐ | ☑ | | 593 < w | ☑ | ☐ |

Explanation:

Question 1

Step1: Understand the situation

The number of students \( s \) can be up to 30, meaning \( s \) can be 30 or less.

Step2: Analyze the inequalities

• Option A: \( s < 30 \) means less than 30, not including 30.
• Option B: \( s > 30 \) means more than 30, which is incorrect.
• Option C: \( s \geq 30 \) means 30 or more, incorrect.
• Option D: \( s \leq 30 \) means 30 or less, which matches "up to 30".

Step1: Interpret the situation

The maximum weight \( w \) the elevator can hold is 2200 pounds, so \( w \) can be 2200 or less.

Step2: Evaluate the inequalities

• Option A: \( w \geq 2200 \) means 2200 or more, incorrect.
• Option B: \( w > 2200 \) means more than 2200, incorrect.
• Option C: \( w \leq 2200 \) means 2200 or less, correct.
• Option D: \( w < 2200 \) means less than 2200, not including 2200, incorrect.

Step1: Convert Simon's distance to inches

3 feet is \( 3\times12 = 36 \) inches. Simon's distance is 2 inches longer, so \( 36 + 2 = 38 \) inches.

Step2: Compare with Travis's distance

Travis can jump 38 inches. So Simon and Travis jump the same distance (38 inches).

• "Simon can jump farther than Travis": False.
• "Travis can jump farther than Simon": False.
• "Simon can jump 38 inches": True (calculated as 38 inches).
• "Travis can jump 38 inches": True (given).
• "Simon and Travis can jump the same distance": True (both 38 inches).

Answer:

D. \( s \leq 30 \)

Question 2