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#37230

applications

functions

exponential

hard

90 sec

A colony of bacteria starts with 500 cells. The number of bacteria doubles every 30 minutes. The number of bacteria $N$ after $t$ hours can be modeled by the equation $N = 500 (2)^{2 t}$ .

Based on this model, what is the approximate percentage increase in the number of bacteria each hour? (Disregard the % symbol when entering your answer.)

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.