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)

Yorumlar
  • 0 Yorum