P1 P0 010 P0 1 P0 010 P0 1 010 P0 110 P0. Exponential growth and decay formula can be used in a particular situation if a quantity grows at regular intervals the pattern of the function can be depicted and summarised in an algebraic equation. X t x 0 1r t xt refers to the total number of cases xo the number of index cases or the number of cases at the time of mathematical calculation r the rate of disease transmission the number of people infected by each prior case and t the number of incubation time intervals.
Xt x 0 1 r100 t is used when there is a quantity with an initial value x 0 that changes over time t with a constant rate of change r.
Exponential growth can be modeled with the function. The general form of an exponential equation is y a bx where a is the initial amount that you start with b is the multiplying effect that occurs during each time period and x is the number of time periods that take place. K rate of growth when 0 or decay when. The Exponential Growth function.