Compounded Hourly Exponential Growth

A culture of bacteria grows according to the function P(t) = 450(1.06)^(2t), where t is the time in hours. By what percentage does the population increase every hour?

P(t) = 450(1.06)^{2t}

Desmos 10-Second Shortcut

Desmos Exponent Trick: In Desmos, evaluate (1.06)^2 directly. The output 1.1236 shows the hourly growth factor is 1.1236, giving an increase of 12.36%.

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