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Mathematics 1
Mathematics 1 Deneme Sınavı
Mathematics 1 Deneme Sınavı Sorusu #1193106
Mathematics 1 Deneme Sınavı Sorusu #1193106
In a certain culture, the number of cells increases at a rate proportional to the number of cells present. If there are 150 cells present initially and 600 cells in one hour, find the number of cells in 4 hours?
|
8100 |
|
16200 |
|
38400 |
|
55000 |
|
102400 |
Yanıt Açıklaması:
Let the function P(t) denote the number of the cells at time t in this culture.
P(t) = P0ekt
P(0)=P0=150
P(1)=P0ek.1 › P(1)=150ek =600 › ek=5 then k=ln4 =2ln2
The equation is, P(t) = 150e2ln2t
for t=4›P(4)=150e2(ln2).4
=150.28=38400.
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