Final answer:
The correct inequality that shows the amount of money each band member should raise to reach the goal of $25,000 for their trip is A) 125x + 25,000 ≥ 5,000. Each band member should raise at least $5,000 each to reach the goal.
Step-by-step explanation:
The correct inequality that shows the amount of money each band member should raise to reach the goal of $25,000 for their trip is option A) 125x + 25,000 ≥ 5,000.
To solve this inequality, we subtract 25,000 from both sides of the inequality, which gives us 125x ≥ -20,000. Next, we divide both sides of the inequality by 125 to isolate x and find x ≥ -160.
This means that each band member should raise at least $5,000 each, in order to reach the goal of $25,000 for their trip.