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Problem Analysis:

The task involves analyzing data from a plant growth experiment to answer questions about the variables tested, conclusions drawn, and hypotheses based on the provided data. The data table (Table 1) shows the growth of eight plants over three weeks under different conditions of light exposure and water supply.

#### Step 1: Understand the Data Table
- Variables:
- Independent Variables:
- Amount of Light per day (0 hours, 4 hours, 8 hours, 18 hours)
- Amount of Water per day (1 cup)
- Dependent Variable:
- Height of the plant after Week 1, Week 2, and Week 3 (in cm)

- Plants:
- Plants are divided into groups based on the amount of light they receive daily.
- All plants receive the same amount of water (1 cup per day).

#### Step 2: Answer the Questions

##### Question 1: What were the two variables tested in this plant growth experiment?
- The two variables tested in this experiment are:
1. Amount of Light per day: This is the independent variable that varies across the plants (0 hours, 4 hours, 8 hours, 18 hours).
2. Height of the plant: This is the dependent variable that is measured at different time points (Week 1, Week 2, Week 3) to observe how it changes with varying amounts of light.

##### Question 2: What conclusions can you draw in regards to the amount of light a plant was exposed to and how tall the plant grew?
- Observations:
- Plant 1 (0 hours of light): No growth observed throughout the experiment (0 cm height at all time points).
- Plant 2 (4 hours of light): Minimal growth observed (0.5 cm at Week 1, 1 cm at Week 2, 1.5 cm at Week 3).
- Plant 3 (8 hours of light): Moderate growth observed (1 cm at Week 1, 2 cm at Week 2, 3 cm at Week 3).
- Plant 4 (18 hours of light): Significant growth observed (1.5 cm at Week 1, 3 cm at Week 2, 5 cm at Week 3).

- Conclusion:
- Plants exposed to more light generally grew taller over the three-week period.
- There is a positive correlation between the amount of light and plant height.
- Plants exposed to no light (Plant 1) did not grow at all, indicating that light is essential for plant growth.
- Plants exposed to 18 hours of light (Plant 4) showed the most significant growth, suggesting that increased light exposure promotes faster and greater growth.

##### Question 3: What conclusions can you draw in regards to the amount of water given to a plant and how tall the plant grew?
- Observations:
- All plants received the same amount of water (1 cup per day).
- Despite the consistent water supply, there were significant differences in plant growth based on the amount of light they received.
- This suggests that water alone is not the limiting factor in this experiment; light appears to be the primary determinant of growth.

- Conclusion:
- The amount of water given to the plants (1 cup per day) was sufficient for growth in all cases.
- Since all plants received the same amount of water but showed varying growth rates, water does not appear to be the limiting factor in this experiment.
- The differences in growth are primarily due to the varying amounts of light.

##### Question 4: Describe which plant or plants did best and develop a hypothesis on plant growth based on the data you examined.
- Best Performing Plant:
- Plant 4 (18 hours of light): This plant showed the tallest growth at all time points (1.5 cm at Week 1, 3 cm at Week 2, 5 cm at Week 3).

- Hypothesis:
- Hypothesis: Increased exposure to light promotes faster and greater plant growth.
- Rationale: Based on the data, plants exposed to more light (e.g., 18 hours) grew significantly taller than those exposed to less light (e.g., 4 hours or 0 hours). This suggests that light is a critical factor in photosynthesis, which drives plant growth. The optimal amount of light for growth in this experiment appears to be around 18 hours per day.

Final Answers:

1. The two variables tested were:
- Amount of Light per day (independent variable).
- Height of the plant (dependent variable).

2. Conclusions regarding light exposure and plant growth:
- Plants exposed to more light grew taller.
- There is a positive correlation between light exposure and plant height.
- Light is essential for plant growth, as plants exposed to no light did not grow.

3. Conclusions regarding water supply and plant growth:
- The amount of water (1 cup per day) was sufficient for growth in all cases.
- Water does not appear to be the limiting factor in this experiment; light is the primary determinant of growth.

4. Best-performing plant and hypothesis:
- Best Plant: Plant 4 (18 hours of light).
- Hypothesis: Increased exposure to light promotes faster and greater plant growth.

Final Boxed Answers:

1. Variables Tested: Amount of Light per day and Height of the plant.
2. Conclusions on Light: More light leads to taller plants; light is essential for growth.
3. Conclusions on Water: Water was sufficient; light is the primary growth factor.
4. Best Plant and Hypothesis: Plant 4 (18 hours of light); increased light promotes faster and greater growth.

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\boxed{1. \text{Amount of Light per day and Height of the plant.} \\ 2. \text{More light leads to taller plants; light is essential for growth.} \\ 3. \text{Water was sufficient; light is the primary growth factor.} \\ 4. \text{Plant 4 (18 hours of light); increased light promotes faster and greater growth.}}
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