I’ve been playing goes 2 inches in two days a strawberry plant grows 4 inches in five days compared the two proportional relationships. Assume each plant is growing at a constant rate.
A. The strawberry plant has grown. 2 inches more than the bean plant.
B. The strawberry plant grows at a slower rate because it grow 0.8 inches per day while the plant grows 1 inch per day
C. Both plants are growing every day.
D. The plant grows slower because it grows 2 inches the strawberry plant grows 4 inches.
A. The strawberry plant has grown 2 inches more than the bean plant.
This statement is true based on the given information. The bean plant grows 2 inches in two days, while the strawberry plant grows 4 inches in five days. Since 4 is 2 inches more than 2, the strawberry plant has grown 2 inches more than the bean plant.
B. 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 false. According to the given information, the bean plant grows 2 inches in two days, which means it grows at a rate of 1 inch per day. The strawberry plant grows 4 inches in five days, which means it grows at a rate of approximately 0.8 inches per day. Therefore, the bean plant actually grows at a faster rate than the strawberry plant.
C. Both plants are growing every day.
This statement is not directly stated in the given information, so we cannot determine its validity.
D. The bean plant grows slower because it grows 2 inches and the strawberry plant grows 4 inches.
This statement is false. The bean plant does grow slower than the strawberry plant because it takes two days for the bean plant to grow 2 inches, while the strawberry plant takes five days to grow 4 inches. However, the statement is incorrect because it confuses the growth rate with the total growth. The strawberry plant grows faster, but not because it grows 4 inches compared to the bean plant's 2 inches. Instead, it grows faster because it reaches the same 2-inch mark in a shorter amount of time (two days for the bean plant compared to five days for the strawberry plant).
To compare the proportional relationships between the two plants, let's break it down step-by-step:
Step 1: Find the growth rate per day for each plant.
- The bean plant grows 2 inches in two days, so its daily growth rate is 2 inches / 2 days = 1 inch per day.
- The strawberry plant grows 4 inches in five days, so its daily growth rate is 4 inches / 5 days = 0.8 inches per day.
Step 2: Compare the growth rates.
- The bean plant grows at a rate of 1 inch per day.
- The strawberry plant grows at a rate of 0.8 inches per day.
Based on the comparison of growth rates:
B. 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.
Note: The other answer choices are not supported by the given information.
To compare the two proportional relationships, we need to calculate the growth rate for each plant.
For the bean plant:
The bean plant grows 2 inches in two days. To find the growth rate per day, we divide the total growth (2 inches) by the number of days (2): 2 inches / 2 days = 1 inch per day.
For the strawberry plant:
The strawberry plant grows 4 inches in five days. To find the growth rate per day, we divide the total growth (4 inches) by the number of days (5): 4 inches / 5 days = 0.8 inches per day.
Now, let's answer each statement based on the calculated growth rates:
A. The strawberry plant has grown 2 inches more than the bean plant.
Since the strawberry plant grows at a slower rate (0.8 inches per day) compared to the bean plant's growth rate (1 inch per day), it cannot be concluded that the strawberry plant has grown 2 inches more. Therefore, statement A is false.
B. The strawberry plant grows at a slower rate because it grows 0.8 inches per day, while the plant grows 1 inch per day.
This statement is true. The strawberry plant does grow at a slower rate, as calculated in the earlier steps. Therefore, statement B is true.
C. Both plants are growing every day.
Based on the given information, we can assume that both plants are growing every day, as there is no mention of any gaps in their growth. Therefore, statement C is plausible.
D. The plant grows slower because it grows 2 inches, while the strawberry plant grows 4 inches.
This statement is not accurate since it only compares the total growth instead of the growth rate per day. As explained earlier, the bean plant grows at a rate of 1 inch per day, while the strawberry plant grows at a rate of 0.8 inches per day. Therefore, this statement is false.
In summary:
Statement A - False
Statement B - True
Statement C - Plausible
Statement D - False