Question

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the population of a yeast colony after t hours can be modeled by the function p(t)=10,000,000(2)^t. what does the number 2 tell you? it takes 2 hours for the colonys population to reach 10,000,000. the colonys population doubles every hour. it takes 2 hours for the colonys population to double. the colonys population doubles every 2 hours.

Explanation:

In an exponential - growth function of the form $P(t)=a(b)^t$, the base $b$ represents the growth factor. Here, $P(t) = 10000000(2)^t$, and since $b = 2$, for each increase of $t$ by 1 hour, the population $P(t)$ is multiplied by 2, which means the population doubles every hour.

Answer:

The colony's population doubles every hour.