Question
Mrs Garcia planted a pepper plant in a tomato plant in her garden The pepper plant is 6 in tall and gross 2 in each week The tomato plant is 4 in tall and gross 2 in each week which of the following statements is true about the heights of the two plants select all that apply A The pepper plant is always taller than the tomato plant B after 2 weeks the tomato plant is taller than the pepper plant C after 3 weeks the tomato plant is taller than the pepper plant D after 4 weeks The tomato plants and the pepper plants are the same height E The tomato plant is always 2 in shorter than the pepper plant
Answers
GPT-4o mini
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:
1. **After 0 weeks:**
- Pepper plant height = 6 inches
- Tomato plant height = 4 inches
2. **After 1 week:**
- Pepper plant height = 6 + 2 = 8 inches
- Tomato plant height = 4 + 2 = 6 inches
3. **After 2 weeks:**
- Pepper plant height = 6 + 2*2 = 10 inches
- Tomato plant height = 4 + 2*2 = 8 inches
4. **After 3 weeks:**
- Pepper plant height = 6 + 3*2 = 12 inches
- Tomato plant height = 4 + 3*2 = 10 inches
5. **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.**
- **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:
1. **After 0 weeks:**
- Pepper plant height = 6 inches
- Tomato plant height = 4 inches
2. **After 1 week:**
- Pepper plant height = 6 + 2 = 8 inches
- Tomato plant height = 4 + 2 = 6 inches
3. **After 2 weeks:**
- Pepper plant height = 6 + 2*2 = 10 inches
- Tomato plant height = 4 + 2*2 = 8 inches
4. **After 3 weeks:**
- Pepper plant height = 6 + 3*2 = 12 inches
- Tomato plant height = 4 + 3*2 = 10 inches
5. **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.**