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
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%