AlgebraEasy–MediumDays until a linearly falling quantity reaches a value
Algebra practice question
The number of tickets remaining t days after sales open is given by R(t) = 2,400 − 150t. After how many days will 900 tickets remain?
Answer: 10
2,400 − 150t = 900 → 150t = 1,500 → t = 10.
Common wrong answers
- If you answered 6
- 6 comes from 900 ÷ 150, the days to sell 900 tickets rather than to have 900 left.
- If you answered 16
- 16 is when no tickets remain (2,400 ÷ 150).
- If you answered 1500
- 1,500 is the number sold by then, not the days.
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