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
A: the strawberry plant has grown 2 more inches then the bean plant
B: both plants are growing every day
C: the bean plant grows at a slower rate every day because it grows 2 inches while the strawberry plant grows 4 inches
D: 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
D: 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.
The correct answer is:
D: 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.
Explanation: While the strawberry plant grows 4 inches in 5 days, the bean plant grows 2 inches in 2 days. To compare the rate of growth, we divide the total growth by the number of days. Thus, the strawberry plant grows at a rate of 4 inches / 5 days = 0.8 inches per day, while the bean plant grows at a rate of 2 inches / 2 days = 1 inch per day. Since the bean plant has a higher rate of growth per day, the strawberry plant grows at a slower rate.
To compare the two proportional relationships, we need to determine the rate at which each plant is growing per day.
For the bean plant, it grows 2 inches in 2 days. This means it grows at a rate of 2 inches per 2 days. To find the rate per day, we divide the total growth (2 inches) by the number of days (2 days). Therefore, the bean plant grows at a rate of 1 inch per day.
For the strawberry plant, it grows 4 inches in 5 days. This means it grows at a rate of 4 inches per 5 days. To find the rate per day, we divide the total growth (4 inches) by the number of days (5 days). Therefore, the strawberry plant grows at a rate of 0.8 inches per day.
Now, let's compare the two proportional relationships based on the information we calculated:
A: The strawberry plant has grown 2 more inches than the bean plant.
This statement is incorrect because the strawberry plant actually has a slower growth rate than the bean plant.
B: Both plants are growing every day.
This statement is incorrect because the growth rate of each plant is different.
C: The bean plant grows at a slower rate every day because it grows 2 inches while the strawberry plant grows 4 inches.
This statement is incorrect because the bean plant actually has a faster growth rate than the strawberry plant.
D: 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 correct. The strawberry plant grows at a slower rate than the bean plant because it grows 0.8 inches per day compared to 1 inch per day for the bean plant.