At your initial meeting with your business partners for CellGenTech, you propose that the rate of change in the number of newly introduced cell lines that the company scientists should be able to produce should be proportional to the number of cell lines. The company initially patented and owned three cell lines N(0) = 3 and six months later were able to pick up another two lines N(6) = 5. After one year, the model goes awry. It poorly predicts the number of lines. So, the initial model is changed to reveal that the rate of change in the number of cell lines are proportional to the square of the number of cell lines.
If the old model remained, what percentage error would you find after one year in the predicted and actual value? Note: Round in the tenths place and enter the percent value but do not include the percent symbol (eg. for 10.483% enter 10.5). Also, to find the percent error, use %e = 100 * |A - E| / A where A is the actual value and E is the experimental value (or first model value).