If an initial population of bacteria doubles every hour, what is the growth factor of this exponential model?

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To determine the growth factor of the exponential model for a population of bacteria that doubles every hour, we can follow these steps:

1. **Understanding the Growth Factor**: The growth factor in an exponential growth model is the factor by which the population increases in a given time period. In this case, since the population doubles every hour, the growth factor is 2.

2. **Exponential Growth Model**: The general form of the exponential growth model can be expressed as:
   $$
   P(t) = P_0 \cdot r^t
   $$
   where:
   - $$ P(t) $$ is the population at time $$ t $$,
   - $$ P_0 $$ is the initial population,
   - $$ r $$ is the growth factor,
   - $$ t $$ is the time in hours.

3. **Applying the Given Information**: Since the population doubles every hour, we can set $$ r = 2 $$.

Thus, the growth factor of this exponential model is $$ r = 2 $$.
The growth factor is 2.

If an initial population of bacteria doubles every hour, what is the growth factor of this exponential model?

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