Question
Students want to build a vegetable garden that is no larger than 10 × 10 ft. They have a budget of $200 for supplies and need to complete this project within two weeks. The students prefer native plants over non-native plants, a fertilizer that is low risk for causing pollution, and would like to spend no more than once per week on maintenance.
The table below shows four solutions that the students proposed.
Criteria and Constraints Solution W Solution X Solution Y Solution Z
Type of Plant native non-native non-native native
Fertilizer Pollution low risk medium risk low risk medium risk
Estimated Completion Time 1.5 weeks 1 week 1.5 weeks 2 weeks
Estimated Cost $200 $190 $195 $200
Maintenance twice per month once per week twice per month once per week
Size of Garden (ft) 8 × 10 10 × 10 10 × 10 9 × 7
Of the four designs, which would best meet the criteria and constraints?
A.
solution Y
B.
solution W
C.
solution X
D.
solution Z
The table below shows four solutions that the students proposed.
Criteria and Constraints Solution W Solution X Solution Y Solution Z
Type of Plant native non-native non-native native
Fertilizer Pollution low risk medium risk low risk medium risk
Estimated Completion Time 1.5 weeks 1 week 1.5 weeks 2 weeks
Estimated Cost $200 $190 $195 $200
Maintenance twice per month once per week twice per month once per week
Size of Garden (ft) 8 × 10 10 × 10 10 × 10 9 × 7
Of the four designs, which would best meet the criteria and constraints?
A.
solution Y
B.
solution W
C.
solution X
D.
solution Z
Answers
GPT-4o mini
To determine which solution best meets the criteria and constraints, we need to evaluate each option against the following requirements:
1. **Type of Plant**: Preference for native plants.
2. **Fertilizer Pollution Risk**: Preference for low risk.
3. **Estimated Completion Time**: Must be within 2 weeks.
4. **Estimated Cost**: Must be within budget of $200.
5. **Maintenance**: Prefer no more than once per week.
6. **Size of Garden**: Must be no larger than 10 ft × 10 ft.
Now, let's analyze each solution:
### Solution W
1. Type of Plant: Native
2. Fertilizer Pollution Risk: Low risk
3. Estimated Completion Time: 1.5 weeks (within limit)
4. Estimated Cost: $200 (within budget)
5. Maintenance: Twice per month (equivalent to every two weeks)
6. Size of Garden: 8 × 10 ft (within size limit)
### Solution X
1. Type of Plant: Non-native (does not meet criteria)
2. Fertilizer Pollution Risk: Medium risk (does not meet criteria)
3. Estimated Completion Time: 1 week (within limit)
4. Estimated Cost: $190 (within budget)
5. Maintenance: Once per week
6. Size of Garden: 10 × 10 ft (within size limit)
### Solution Y
1. Type of Plant: Non-native (does not meet criteria)
2. Fertilizer Pollution Risk: Low risk (meets criteria)
3. Estimated Completion Time: 1.5 weeks (within limit)
4. Estimated Cost: $195 (within budget)
5. Maintenance: Twice per month (equivalent to every two weeks)
6. Size of Garden: 10 × 10 ft (within size limit)
### Solution Z
1. Type of Plant: Native
2. Fertilizer Pollution Risk: Medium risk (does not meet criteria)
3. Estimated Completion Time: 2 weeks (within limit)
4. Estimated Cost: $200 (within budget)
5. Maintenance: Once per week
6. Size of Garden: 9 × 7 ft (within size limit)
### Summary of Evaluation
- **Solution W** meets all criteria and constraints.
- **Solution X** does not meet plant type and fertilizer pollution criteria.
- **Solution Y** does not meet plant type criteria.
- **Solution Z** does not meet fertilizer pollution criteria.
**Conclusion**: The best option that meets all the criteria and constraints is **Solution W**.
So the answer is **B. Solution W**.
1. **Type of Plant**: Preference for native plants.
2. **Fertilizer Pollution Risk**: Preference for low risk.
3. **Estimated Completion Time**: Must be within 2 weeks.
4. **Estimated Cost**: Must be within budget of $200.
5. **Maintenance**: Prefer no more than once per week.
6. **Size of Garden**: Must be no larger than 10 ft × 10 ft.
Now, let's analyze each solution:
### Solution W
1. Type of Plant: Native
2. Fertilizer Pollution Risk: Low risk
3. Estimated Completion Time: 1.5 weeks (within limit)
4. Estimated Cost: $200 (within budget)
5. Maintenance: Twice per month (equivalent to every two weeks)
6. Size of Garden: 8 × 10 ft (within size limit)
### Solution X
1. Type of Plant: Non-native (does not meet criteria)
2. Fertilizer Pollution Risk: Medium risk (does not meet criteria)
3. Estimated Completion Time: 1 week (within limit)
4. Estimated Cost: $190 (within budget)
5. Maintenance: Once per week
6. Size of Garden: 10 × 10 ft (within size limit)
### Solution Y
1. Type of Plant: Non-native (does not meet criteria)
2. Fertilizer Pollution Risk: Low risk (meets criteria)
3. Estimated Completion Time: 1.5 weeks (within limit)
4. Estimated Cost: $195 (within budget)
5. Maintenance: Twice per month (equivalent to every two weeks)
6. Size of Garden: 10 × 10 ft (within size limit)
### Solution Z
1. Type of Plant: Native
2. Fertilizer Pollution Risk: Medium risk (does not meet criteria)
3. Estimated Completion Time: 2 weeks (within limit)
4. Estimated Cost: $200 (within budget)
5. Maintenance: Once per week
6. Size of Garden: 9 × 7 ft (within size limit)
### Summary of Evaluation
- **Solution W** meets all criteria and constraints.
- **Solution X** does not meet plant type and fertilizer pollution criteria.
- **Solution Y** does not meet plant type criteria.
- **Solution Z** does not meet fertilizer pollution criteria.
**Conclusion**: The best option that meets all the criteria and constraints is **Solution W**.
So the answer is **B. Solution W**.