A parar type of bacteria is found to be capable of doubling in number about ever

Question

A parar type of bacteria is found to be capable of doubling in number about every 482 minutes. The number N of bacteria present efter tminutss could be modeled by Nit) N 0Suppose that No 300,000 is the initial number of bacteria per milr Complete parts (a) and (bj below (a) Approximale the number of bacteia per milliiter afler 2 hours. ter 2 hours, there are appraximately bactiaer mier (Round to tha naarest thousand as neadad) (b) Estimate graphically the elapeed time hen there aremilion bacteria per milliiter. There are 9 milin bucteria per milier le pprximaletymnules Round the final answar to tha nearast intagndd Rnund all intarmadata valuas to the nearest thousandth as nondod)

Explanation / Answer

a)

Substitute t= 2*60 =120 minutes in N(t) =300000*e^(0.014*t)

N(2) =300000*e^(0.014*120)

=1610000

b)

300000*e^(0.014*t)= 9*10^6

e^(0.014*t)= 9*10^6/300000

e^(0.014*t)= 30

0.014t=ln(30)

t= ln(30)/(0.014)

t= 243 minutes

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