Problema Solution

the number of cells in a culture decreases at a rate of 3% each day. If there are 200 cells in the initial culture, write an exponential equation to represent the cell population,y, on any day, x, where x is the number of days since the initial state

Answer provided by our tutors

the population is modeled by the equation


y = y0 * (e^(-rt))


where


y0 = 200 cells the initial culture

r = 0.03 relative rate of decay


the exponential equation to represent the cell population is


y = 200*(e^(-0.03x))