Soal SMA · Soal cerita · Kesulitan 4/5
A group of students is planning a trip. They have two options: Option 1 costs $200 per person plus a fixed fee of $100, and Option 2 costs $250 per person with no fixed fee. For what number of students is Option 1 more expensive than Option 2?
- A.Fewer than 2 students
- B.Exactly 2 students
- C.More than 2 students
- D.All numbers of students
Kunci jawaban & pembahasan
Jawaban: Fewer than 2 students
Let n be number of students. Cost1 = 200n + 100, Cost2 = 250n. Option 1 more expensive means 200n + 100 > 250n ⇒ 100 > 50n ⇒ n < 2. So for fewer than 2 students (i.e., n=1), Option 1 is more expensive. Thus, option A is correct.
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