Soal SMA · Soal cerita · Kesulitan 4/5
A researcher found that the number of bacteria in a culture doubles every 3 hours. If there were 500 bacteria initially, which expression represents the number of bacteria after t hours?
- A.500 * 2ᵗ/³
- B.500 * 2³ᵗ
- C.500 * (1/2)ᵗ/³
- D.500 * 3ᵗ/²
Kunci jawaban & pembahasan
Jawaban: 500 * 2ᵗ/³
Since the population doubles every 3 hours, the growth factor per hour is 2¹/³. So after t hours, number = 500 * (2¹/³)t = 500 * 2ᵗ/³. Thus, option A is correct.
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