To determine whose plant grew at a faster rate, we need to calculate the growth rate for each plant over the four-week period.
### Suzanne's Plant:
1. Initial height: 4.5 inches
2. Final height: 12 inches
3. The growth duration is from Week 1 to Week 4, which is 3 weeks.
We can calculate the growth rate using the formula:
[tex]\[ \text{Growth Rate} = \frac{\text{Final Height} - \text{Initial Height}}{\text{Number of Weeks}} \][/tex]
For Suzanne's plant:
[tex]\[ \text{Growth Rate} = \frac{12\text{ inches} - 4.5\text{ inches}}{3\text{ weeks}} \][/tex]
[tex]\[ \text{Growth Rate} = \frac{7.5\text{ inches}}{3\text{ weeks}} \][/tex]
[tex]\[ \text{Growth Rate} = 2.5\text{ inches per week} \][/tex]
### Megan's Plant:
1. Initial height: 3 inches
2. Final height: 12 inches
3. The growth duration is from Week 1 to Week 4, which is 3 weeks.
Using the same formula for Megan's plant:
[tex]\[ \text{Growth Rate} = \frac{12\text{ inches} - 3\text{ inches}}{3\text{ weeks}} \][/tex]
[tex]\[ \text{Growth Rate} = \frac{9\text{ inches}}{3\text{ weeks}} \][/tex]
[tex]\[ \text{Growth Rate} = 3.0\text{ inches per week} \][/tex]
### Comparison:
- Suzanne's plant growth rate: 2.5 inches per week
- Megan's plant growth rate: 3.0 inches per week
### Conclusion:
Megan's plant grew at a faster rate. The growth rate of Megan's plant was 3.0 inches per week compared to Suzanne's plant, which grew at a rate of 2.5 inches per week.
