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Mathematics 1
Mathematics 1 Deneme Sınavı
Mathematics 1 Deneme Sınavı Sorusu #1232003
Mathematics 1 Deneme Sınavı Sorusu #1232003
The population of a bacteria doubles in 4 hours. How many bacteria would we have in 10 hours given that we have 1000 bacteria now?
5657 |
3568 |
2563 |
1896 |
567 |
Yanıt Açıklaması:
Given the initial bacteria population Q(0), the population at time t is given by Q(t)=Q(0)ekt.
Since we know that population doubles in 4 hours, we can write:
2Q(0)=Q(0)e4k
2=e4k
ln2=4k, so k=ln2/4=0.1733
Then Q(t=10)=1000e10k
=1000.e1.733
=5657 (approximately)
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