AlgebraHardInterpreting a rate of sale
Algebra practice question
The function N(t) = 250 − 15t models the number of tickets still unsold t hours after sales open. Which of the following is the best interpretation of the number 15 in this context?
- A. About 15 tickets are sold each hour.Correct
- B. 15 tickets remain unsold at the end.
- C. The tickets sell out after 15 hours.
- D. Sales are open for 15 hours.
Answer: A. About 15 tickets are sold each hour.
The coefficient of t is the change per hour; N falls by 15 each hour.
Why the other answers are wrong
- B. 15 tickets remain unsold at the end.
- The number left depends on t, not on the coefficient.
- C. The tickets sell out after 15 hours.
- Selling out takes 250/15, about 16.7 hours.
- D. Sales are open for 15 hours.
- Nothing in the model sets the opening hours.
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