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The problem in the image asks for the time it will take for the population of bacteria to reach 1 million, given that the bacteria double every hour.

### Problem Breakdown:
- **Initial bacteria count**: 1,000.
- **After 1 hour**: 2,000 bacteria (this indicates the bacteria double every hour).
- **We need to find**: The approximate time it will take for the bacteria to reach **1 million**.

### Solution Approach:
This problem describes exponential growth, where the number of bacteria \( N(t) \) after \( t \) hours is given by the formula:

\[
N(t) = N_0 \times 2^t
\]

Where:
- \( N_0 \) is the initial number of bacteria (1,000),
- \( 2^t \) represents the doubling every hour,
- \( N(t) \) is the number of bacteria after \( t \) hours.

We want to find \( t \) such that \( N(t) = 1,000,000 \).

### Step-by-Step Calculation:
1. Start with the equation:

   \[
   1,000 \times 2^t = 1,000,000
   \]

2. Divide both sides by 1,000:

   \[
   2^t = 1,000
   \]

3. Take the logarithm of both sides to solve for \( t \):

   \[
   t \log(2) = \log(1,000)
   \]

4. Knowing that \( \log(2) \approx 0.3010 \) and \( \log(1,000) = 3 \):

   \[
   t = \frac{3}{0.3010} \approx 9.97
   \]

So, the bacteria population will reach 1 million in approximately **10 hours**.

### Conclusion:
It will take about **10 hours** for the bacteria population to reach 1 million, based on exponential growth.

Would you like more details or have any questions about the solution? Here are some related questions to further explore:

1. How would the result change if the bacteria tripled every hour instead of doubling?
2. How can the concept of exponential growth be applied to other real-life scenarios?
3. What happens if the initial population is different, say 500 bacteria? How would that affect the time to reach 1 million?
4. What is the general form of the exponential growth equation for other doubling times (e.g., every half-hour)?
5. How can logarithms help simplify more complex growth problems like this one?

**Tip**: Exponential growth models are not only useful in biology but also in finance and technology fields (e.g., compound interest or computing power projections).

1000 bacteria are put into a petri dish. After 1 hour there are 2000 bacteria in the dish. The bacteria continue to double in quantity every hour. Using a graph or otherwise, state how long, approximately, it will take the population of bacteria to reach 1 million.

Find out how long it takes for bacteria to reach a population of 1 million when starting with 1000 bacteria that double every hour. This example illustrates exponential growth and logarithmic calculations. Suitable for students in Grades 9-12.

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