AlgebraMediumInequality for a minimum with a per-item cost and a target
Algebra practice question
A club sells raffle tickets at $3 each and must raise at least $450 after paying $60 for prizes. Which inequality gives the numbers of tickets t that meet the target?
- A. 3t − 60 ≥ 450Correct
- B. 3t − 60 ≤ 450
- C. 3t ≥ 450
- D. 3t + 60 ≥ 450
Answer: A. 3t − 60 ≥ 450
Money raised after prizes is 3t − 60, and 'at least 450' is ≥. (So t ≥ 170.)
Why the other answers are wrong
- B. 3t − 60 ≤ 450
- ≤ caps the amount.
- C. 3t ≥ 450
- Ignores the prize cost.
- D. 3t + 60 ≥ 450
- Adds the cost instead of subtracting.
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