Timeline for Examples for "good" exponential growth versus linear growth
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 6, 2020 at 17:45 | comment | added | Steven Gubkin | @user11235 Only if you start with the same amount of money in each account, and deposit money at the same frequency. Maybe compare two different people with two different starting amounts and deposit rates? | |
| May 6, 2020 at 16:25 | comment | added | Andrew Chin | What is the intended audience for this write up? | |
| May 6, 2020 at 15:59 | comment | added | user11235 | @StevenGubkin Money under your bed is not a good example for the interaction of exponential and linear because the money in the bank is always more than the money under your bed as long as interest stays fixed. | |
| May 6, 2020 at 15:35 | answer | added | guest | timeline score: 1 | |
| May 6, 2020 at 13:13 | answer | added | kutschkem | timeline score: 3 | |
| May 6, 2020 at 12:04 | comment | added | Dave L Renfro | Maybe this old handout of mine on exponential growth that I managed to find on the internet will be of use, especially Section VI Some Consequences of Continued Exponential Growth (3rd page of the .pdf document). In particular, the money example involving Karen and Megan is a fairly extreme example of how strongly exponential growth dominates linear growth in the long run. | |
| May 6, 2020 at 11:58 | comment | added | Dave L Renfro | it is not true that if an exponential is bigger than a linear function that it will not always stay that way --- This is rather muddled and I don't know what you intended. I think you want to say that although we all know that exponential growth is eventually above linear growth, it is still possible for exponential to be above linear at one point and then later have linear above exponential (but of course not stay above exponential). This is easy to see since exponential can start out nearly horizontal and then get steep, so use something like $y = e^x$ and $y = 100x$ (for $x \geq 0).$ | |
| May 6, 2020 at 10:41 | comment | added | Steven Gubkin | The money under your bed grows linearly with respect to time if you put a fixed amount there every month. | |
| May 6, 2020 at 9:56 | history | asked | user11235 | CC BY-SA 4.0 |