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January 30, 2015

January 30, 2015

Posted by **Star** on Thursday, April 26, 2012 at 6:53pm.

N(t)=100e^0.045t

You may use graphical method or algebraic method. Please show work if algebraic or show the graph if graphical method - round to 2 decimals.

a. Determine the initial amount of bacteria: ____________________________

b. What is the population after 5 days: _______________________________

c. How long will it take the population to reach 140 grams:_______________

- Math -
**Henry**, Saturday, April 28, 2012 at 7:42pmN(t) = 100*e^0.045t.

a. N(0) = 100*e^0 = 100*1 = 100 g.

b. N(5) = 100*e^(0.045*5) = 100*e^0.225 = 125.2 g.

c. N = 100*e^0.045t = 140 g.

100*e^0.045t = 140.

e^0.045t = 140/100 = 1.40.

Take Ln of both sides:

0.045t*Lne = Ln1.40.

0.045t = Ln1.40 / Lne = 0.33647.

t = 0.33647 / 0.045 = 7.5 Days.

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