A population [math]P(t) of [math]260 bacteria increases by [math]7\% every [math]3 hours. Let [math]t be time in hours.
The formula is going to look something like: [math]P(t) = ab^{t}\text{.} Our goal is to find values for [math]a and [math]b\text{.}

- What is the initial size of the population? This is the result we should get at [math]
t = 0 (no time goes by). [math]a = - We are told there is an [math]
7 \% increase that occurs over the span of [math]3 hours. We will call this the “overall” percent increase. We want the “hourly” percent increase. What overall growth factor corresponds to an [math]7 \% increase?