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.

The strawberry plant has grown 2 inches more than the bean plant

Both plant are growing every day

The strawberry grows at a slower rate because it grows 0.8 inches per day while the bean plant grows 1 inch per day.

The bean plant grows at a slower rate because to grows 2 inches while the strawberry plant grows 4 inches

1 answer

To compare the growth rates of the bean plant and the strawberry plant, we should first calculate their growth rates in terms of inches per day.

  1. Bean Plant:

    • Grows 2 inches in 2 days.
    • Growth rate = \( \frac{2 \text{ inches}}{2 \text{ days}} = 1 \text{ inch per day} \)
  2. Strawberry Plant:

    • Grows 4 inches in 5 days.
    • Growth rate = \( \frac{4 \text{ inches}}{5 \text{ days}} = 0.8 \text{ inches per day} \)

Now we can compare the two growth rates:

  • The bean plant grows 1 inch per day.
  • The strawberry plant grows 0.8 inches per day.

Based on this comparison:

  • The statement that "the strawberry plant has grown 2 inches more than the bean plant" is incorrect, as we are looking for growth rates, not just how much they have grown overall during the time period considered.
  • Both plants are indeed growing every day, which is correct but not directly relevant to comparing the growth rates.
  • The third statement, "the strawberry grows at a slower rate because it grows 0.8 inches per day while the bean plant grows 1 inch per day," is correct.
  • The fourth statement, "the bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches," is incorrect, as we should focus on the daily growth rates rather than total growth over different time periods.

In conclusion, the correct comparison is that the bean plant grows at a faster rate (1 inch per day) than the strawberry plant (0.8 inches per day).