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. 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?

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