Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**Hannibal lecter****Member**- Registered: 2016-02-11
- Posts: 330

Hi, I found this question it's very strange in math the function can be linear and exponential in such a form

OR

this is very strange is this only happen in population problems? is anyone has a comment in this phenomenon

*Last edited by Hannibal lecter (2021-12-14 20:43:06)*

Wisdom is a tree which grows in the heart and fruits on the tongue

Offline

**Bob****Administrator**- Registered: 2010-06-20
- Posts: 9,358

This is two separate, and different, questions. When the population rises by 50 per year that's a steady (linear) rise. The slope or gradient is 50. So an equation of the form P = 1000 + 50t fits. If you plot the graph you'll see it goes up by 50 each year.

A 5% increase will result in an upwards curve. This is because the rise depends on the previous year's amount so as the amount goes up so does the rise.

5% leads to a multiplier of 1.05. So each year the population is is 1.05 times as big as the previous year. So the equation this time is 1000(1.05^t).

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

Offline