Let's analyze the situation step by step. We have two plants:
- Pepper plant: Initial height = 6 inches, Growth rate = 2 inches/week
- Tomato plant: Initial height = 4 inches, Growth rate = 2 inches/week
Let's calculate their heights over the weeks:
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After 0 weeks:
- Pepper plant height = 6 inches
- Tomato plant height = 4 inches
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After 1 week:
- Pepper plant height = 6 + 2 = 8 inches
- Tomato plant height = 4 + 2 = 6 inches
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After 2 weeks:
- Pepper plant height = 6 + 2*2 = 10 inches
- Tomato plant height = 4 + 2*2 = 8 inches
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After 3 weeks:
- Pepper plant height = 6 + 3*2 = 12 inches
- Tomato plant height = 4 + 3*2 = 10 inches
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After 4 weeks:
- Pepper plant height = 6 + 4*2 = 14 inches
- Tomato plant height = 4 + 4*2 = 12 inches
Now, let's evaluate the statements:
A. The pepper plant is always taller than the tomato plant.
- This is true, as we can see from the calculations, the pepper plant is always taller than the tomato plant at every week.
B. After 2 weeks the tomato plant is taller than the pepper plant.
- This is false, as after 2 weeks the pepper plant (10 inches) is still taller than the tomato plant (8 inches).
C. After 3 weeks the tomato plant is taller than the pepper plant.
- This is false, as after 3 weeks the pepper plant (12 inches) is still taller than the tomato plant (10 inches).
D. After 4 weeks the tomato plant and the pepper plant are the same height.
- This is false, as after 4 weeks the pepper plant (14 inches) is taller than the tomato plant (12 inches).
E. The tomato plant is always 2 inches shorter than the pepper plant.
- This is false, as the difference in height is always 2 inches in this example, but the initial heights are different (4 inches against 6 inches), so the absolute difference changes as they both grow at the same rate, keeping the gap of 2 inches as they grow taller.
Thus, the only true statement is:
A. The pepper plant is always taller than the tomato plant.
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