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 | ☑ | ☐ | 5. javier works each weekend at an animal shelter where he earns $8 an hour. he is saving his earnings to go on a ski trip that costs $190. let h be the number of hours javier worked. select all the true statements. ☑ since 8h < 190, javier did not earn enough money to make the trip. ☐ since 8h > 190, javier earned enough money to make the trip. ☐ javier needs to work at least 6 more hours to save enough money to make the trip. ☑ the number of hours javier worked on sundays is greater than the number of hours javier worked on saturdays. ☑ javier worked less than 24 hours during the last two weekends. javiers work record bar graph: weekends 1: saturday 5, sunday 7; weekends 2: saturday 5, sunday 6 copyright © savvas learning company llc. all rights reserved.

Explanation:

Question 1

Step1: Understand the situation

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

Step2: Analyze the options

• Option A: \( s < 30 \) means less than 30, not including 30. Incorrect.
• Option B: \( s > 30 \) means more than 30. Incorrect.
• Option C: \( s \geq 30 \) means more than or equal to 30. Incorrect.
• Option D: \( s \leq 30 \) means less than or equal to 30. Correct.

Step1: Understand the situation

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

Step2: Analyze the options

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

Step1: Convert Simon's jump to inches

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

Step2: Compare with Travis's jump

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

Step3: Analyze the statements

• "Simon can jump farther than Travis." False.
• "Travis can jump farther than Simon." False.
• "Simon can jump 38 inches." True (as calculated).
• "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