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.(1 point)

Question

Responses

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

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

Both plants are growing every day.
Both plants are growing every day.

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

Answer 1

The best comparison of 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.

Here's how to determine the growth rates:

• The bean plant grows 2 inches in 2 days, so its growth rate is: \[ \text{Growth rate of bean plant} = \frac{2 \text{ inches}}{2 \text{ days}} = 1 \text{ inch per day} \]

• The strawberry plant grows 4 inches in 5 days, so its growth rate is: \[ \text{Growth rate of strawberry plant} = \frac{4 \text{ inches}}{5 \text{ days}} = 0.8 \text{ inches per day} \]

Since 1 inch per day (bean plant) is greater than 0.8 inches per day (strawberry plant), the bean plant grows faster than the strawberry plant.