Mathematics 1 Deneme Sınavı Sorusu #1144663

A bacteria population increases exponentially. At t = 0, its population is 50. At t = 1 hour, its population is 250. At t = 4 hours, what is its population ?

3.125

10.000

6.500

2.500

7.750

Yanıt Açıklaması:

P(t) = P₀ e^{k t} ; P(0) = P₀ = 50 ; P(1) = 50 e^{k 1} = 250 ; e^k = 5 ; ln e^k = ln 5 ; k = ln 5 ; x = 50 e^{(ln5) 4} ; a = ln 5⁴ ; x = 50 e^a = 50 5⁴ = 10 5⁵ = 3.125. Correct answer is A.

PAYLAŞ:

SORUNUN CEVABI: A

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