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Q&A #4179 |
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To add a verbal explanation to Suzanne's great pictures... things that behave linearly, grow at a constant rate. In other words, if you took any two consecutive points on a line, the difference in the y values, divided by the difference in the x values is the same (also known as slope). For exponential growth, the y values increase more rapidly. For example y=x is linear for (1,1) and (2,2) the change in y and x are both 1. For exponential like y=x^3, the points are (1,1) anbd (2,8) So even though the x difference is still 1, the y difference is 7, and for the next point it will be even greater, that is (3,27) the y difference this time is 27-8 = 19. -Claudia, for the Teacher2Teacher service
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