AlgebraMediumRange of a total cost from a range of attendance
Algebra practice question
The number of people p attending an event will satisfy 50 ≤ p ≤ 80. The cost of the event is $200 plus $12 per person. Which inequality describes all possible values of the total cost C, in dollars?
- A. 800 ≤ C ≤ 1,160Correct
- B. 600 ≤ C ≤ 960
- C. 250 ≤ C ≤ 280
- D. 800 < C < 1,160
Answer: A. 800 ≤ C ≤ 1,160
C = 200 + 12p. At p = 50, C = 800; at p = 80, C = 1,160.
Why the other answers are wrong
- B. 600 ≤ C ≤ 960
- Those omit the $200 fixed cost.
- C. 250 ≤ C ≤ 280
- Those add 200 to p instead of to 12p.
- D. 800 < C < 1,160
- The endpoints are attainable, so the inequality is inclusive.
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