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.

The correct response is: Both plants are growing every day.

To compare the two proportional relationships, let's analyze the information given.

First, let's compare the growth rate of the two plants. The bean plant grows 2 inches in 2 days, so its growth rate is 2 inches per 2 days, which simplifies to 1 inch per day. On the other hand, the strawberry plant grows 4 inches in 5 days, so its growth rate is 4 inches per 5 days, which simplifies to 0.8 inches per day.

From this comparison, we can see that the bean plant has a faster growth rate as it grows 1 inch per day, while the strawberry plant grows 0.8 inches per day.

Additionally, we can compare the actual growth of the two plants. The strawberry plant has grown 2 inches more than the bean plant. This means that in the same time period, the strawberry plant has achieved more growth compared to the bean plant.

To summarize:
- 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.

To compare the two proportional relationships, we need to calculate the rate at which each plant is growing per day. To find this, we divide the total growth in inches by the number of days it took to reach that growth.

For the bean plant:
Rate of growth per day = Total growth / Number of days
Rate of growth per day = 2 inches / 2 days = 1 inch per day

For the strawberry plant:
Rate of growth per day = Total growth / Number of days
Rate of growth per day = 4 inches / 5 days = 0.8 inches per day

Now that we have calculated the rates of growth per day for each plant, we can make a comparison.

The bean plant is growing at a rate of 1 inch per day, while the strawberry plant is growing at a rate of 0.8 inches per day. Therefore, the bean plant is growing at a faster rate compared to the strawberry plant.

In terms of total growth, the strawberry plant has grown 2 inches more than the bean plant because it took 5 days for the strawberry plant to grow 4 inches, while it took the bean plant only 2 days to grow 2 inches.

In summary, we can say that the bean plant grows at a faster rate of 1 inch per day compared to the strawberry plant, which grows at a rate of 0.8 inches per day. However, the strawberry plant has grown 2 inches more than the bean plant due to the longer time period of 5 days.