3. A certain bacterium exponential growth is expressed with the following function: P = Po * ekt where P = total population after time t (gram) Po = Initial population (gram) k = percent rate of...


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3. A certain bacterium exponential growth is expressed with the following function:<br>P = Po * ekt<br>where P = total population after time t (gram)<br>Po = Initial population (gram)<br>k = percent rate of growth<br>t = time (day)<br>Variation of the population with time is given in the following table.<br>t (day)<br>1<br>3 5<br>7<br>9<br>11<br>13<br>15<br>17<br>19<br>P (gram)<br>0.64 1.06 1.75 2.88 | 4.74 | 7.82 | 12.90 | 21.26 | 35.05 | 57.79<br>a) Linearize the exponential growth expression and plot the linearized equation<br>by using the given data.<br>b) Calculate initial population (Po) and percent rate of growth (k).<br>c) How much bacteria (P) can we grow in 2 weeks?<br>

Extracted text: 3. A certain bacterium exponential growth is expressed with the following function: P = Po * ekt where P = total population after time t (gram) Po = Initial population (gram) k = percent rate of growth t = time (day) Variation of the population with time is given in the following table. t (day) 1 3 5 7 9 11 13 15 17 19 P (gram) 0.64 1.06 1.75 2.88 | 4.74 | 7.82 | 12.90 | 21.26 | 35.05 | 57.79 a) Linearize the exponential growth expression and plot the linearized equation by using the given data. b) Calculate initial population (Po) and percent rate of growth (k). c) How much bacteria (P) can we grow in 2 weeks?

Jun 11, 2022
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