Posted: January 8th, 2016

The number of bacteria in a colony is given by the formula n = A(1 – ?−??), where n is the size of the population after t hours. A and b are positive constants. i. Is this a graph of growth or decay? Explain your answer

The number of bacteria in a colony is given by the formula  n = A(1 – ?−??),  where n  is the size of the population after t  hours.  A  and b  are positive constants. i. Is this a graph of growth or decay?  Explain your answer. ii. If  t = 2 when  n = 10000,   and t = 4  when n = 15000, show that                        2?−4? −3?−2? +1 = 0. iii. Find the exact value of  A iv. Find the exact value of   b. v. After how many hours is the population of the bacteria 18 000?