Exponential Growth and Decay

p {margin: 0; padding: 0;} No. Date Exponential browth and Decay The number of cabbits in population increases at a rate that is proportional to the number of rabbits present (at least for a while) So does any population of living creatures Other things that increase or decrease at a rate proportional to the amount present include radioactive material & money If the rate of change is proportional to the amount present, the change can be modeled by dy = ky dt dy , ky Rate of change is proportional to the at amount present dy sk at Divide both sides by Y S ! dy : / k dt Integrate both sides y lnly I = k + C Eintyl KK4C = e Exponentiate both sides = e When multiplaying like bases, add exponents So added exponents can be written as multiplication