Exponential functions and equations

[Edward Pacheco]

A bacteria population is growing exponentially with a growth factor of 1/6 each hour. By what growth factor does the population change each half hour ?

 

[Deleted member 4993]

A bacteria population is growing exponentially with a growth factor of 1/6 each hour. By what growth factor does the population change each half hour ?

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[HallsofIvy]

If the rate for 1/2 hour is "r" that means that if we start with "S" in 1/2 hour we will have (1+ r)S left and after another half hour (1+ r)(1+ r)S. But two half hours is one hour so what is that equal to? Solve for r.