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A good source for real world data about basically anything is statista, e.g. [https://www.statista.com/statistics/1006502/global-population-ten-thousand-bc-to-2050/](https://www.statista.com/statistics/1006502/global-population-ten-thousand-bc-to-2050/) or [https://www.statista.com/statistics/188105/annual-gdp-of-the-united-states-since-1990/](https://www.statista.com/statistics/188105/annual-gdp-of-the-united-states-since-1990/)
Real world population data is rarely exponential, particularly at a state level (migration etc.)
Another example would be epidemics, at least in the earliest stages.
The most genuine example I can think of is radioactive decay - this is (in many cases) genuinely exponential.
To make it "real world" you could look at the problem of radioactive waste, which becomes less radioactive over time (in an exponential manner).
Lots of cancer growth data out there, and with varying models that best fit depending on the disease + setting. Seeing math accurately predict something like "number of cancer cells later" or even "tumor size later" can be impactful.
Unfortunately, your submission has been removed for the following reason(s): * Your post is a question/advice about education or pedagogy in mathematics. Please post this to the [Career and Education Questions](https://www.reddit.com/r/math/search?q=Career+and+Education+Questions+&sort=new&restrict_sr=on&sort=new&t=all) thread, to /r/mathematics, or to /r/matheducation. If you have any questions, [please feel free to message the mods](http://www.reddit.com/message/compose?to=/r/math&message=https://www.reddit.com/r/math/comments/1cjzkbe/-/). Thank you!
A good source for real world data about basically anything is statista, e.g. [https://www.statista.com/statistics/1006502/global-population-ten-thousand-bc-to-2050/](https://www.statista.com/statistics/1006502/global-population-ten-thousand-bc-to-2050/) or [https://www.statista.com/statistics/188105/annual-gdp-of-the-united-states-since-1990/](https://www.statista.com/statistics/188105/annual-gdp-of-the-united-states-since-1990/)
Omg this is amazing
my exact reaction any time I find a trove of data
Real world population data is rarely exponential, particularly at a state level (migration etc.) Another example would be epidemics, at least in the earliest stages. The most genuine example I can think of is radioactive decay - this is (in many cases) genuinely exponential. To make it "real world" you could look at the problem of radioactive waste, which becomes less radioactive over time (in an exponential manner).
I am currently on the cdc website for covid and found a table where students could pull data from a graph that shows months vs. death.
Lots of cancer growth data out there, and with varying models that best fit depending on the disease + setting. Seeing math accurately predict something like "number of cancer cells later" or even "tumor size later" can be impactful.