A bean plant grows 2 inches in 2 days. A strawberry plant grows 4 inches in 5 days. Compare the two proportional relationships. Assume each plant is growing at a constant rate.
responses
• The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.
• The strawberry plant has grown 2 inches more than the bean plant.
• Both plants are growing every day.
• The strawberry plant grows at a slower rate because it grows 0.8 inches per day while the bean plant grows 1 inch per day.
None of the responses accurately compare the proportional relationships between the two plants.
The correct comparison is that the bean plant grows at a rate of 1 inch per day (2 inches in 2 days), while the strawberry plant grows at a rate of 0.8 inches per day (4 inches in 5 days). Therefore, the strawberry plant grows at a slower rate than the bean plant.
The correct response would be:
• The strawberry plant grows at a slower rate because it grows 0.8 inches per day while the bean plant grows 1 inch per day.
To compare the two proportional relationships, we need to calculate the growth rate per day for each plant.
For the bean plant:
2 inches in 2 days means it grows at a rate of 2 inches / 2 days = 1 inch per day.
For the strawberry plant:
4 inches in 5 days means it grows at a rate of 4 inches / 5 days = 0.8 inches per day.
Now, let's analyze the given responses:
1. The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.
This statement is not entirely accurate. While the bean plant does grow 2 inches in the given time frame, we need to consider the growth rate per day to make a proper comparison.
2. The strawberry plant has grown 2 inches more than the bean plant.
Again, this statement is not completely accurate. We need to compare the growth rates per day rather than the total growth.
3. Both plants are growing every day.
This statement is correct. Both plants are growing consistently, but we still need to compare their growth rates.
4. The strawberry plant grows at a slower rate because it grows 0.8 inches per day while the bean plant grows 1 inch per day.
This statement is accurate. The strawberry plant's growth rate of 0.8 inches per day is slower than the bean plant's growth rate of 1 inch per day.
Therefore, the correct statement to compare the two proportional relationships is: "The strawberry plant grows at a slower rate because it grows 0.8 inches per day while the bean plant grows 1 inch per day."