Population size at week 12- 400 Use r and the exponential growth equation to pre

Question

Population size at week 12- 400 Use r and the exponential growth equation to predict the population size at week 14 thus: Multiply the value of r by the number of weeks between week 12 and week 14 2 weeks): Population Changes Through Time . Population Fit 2r 5156 750 Calculate the exponential (e) of the resulting product (remember that the exponential is the inverse of the natural log, In): 500 er 1.67 10 15 20 Time Multiply N12 (the number of aphids at week 12) by e to calculate an estimate of the population size at week 14: Parameters Q2.3. Predicted population size at week 14 NI4 NI2 r 614

Explanation / Answer

Population size at week 12 = 400

And value of 2r = 0.5156

Therefore the exponential rate of the population = e2r

And then the value of e0.5156 = 1.6746 = round figure = 1.67

N12 is the population of aphides at week 12 is 400

Therefore multiplication of N12 with e2r will give number of aphides after 2 week from the week 12 which means the population at 12 week which can be calculated as:

400 x 1.67 = 668

Therefore estimated population size at week 14 = 668

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