Question

the number of bacteria in a sample after x days is represented using the equation
`b=50,000(1.05)^(-x)`. by what approximate percent does the population change per day?a.4.8% decreaseb.5.0% increasec.95.2% decreased.105.0% increase

Answer 1

the number of bacteria decreased 4.8%

Answer 2

initial, x = 0, b = 50000

day 1, x = 1, b = 50000 (1.05)^-1

day 2, x = 2, b = 50000 (1.05) =^-2

day 2 / day 1 = 1.05^-2 / 1.05^-1 = 1.05^-1 = 0.952

Which means that the number of bacteria decreased 4.8%