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. Both plants are growing every day.
B. The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.
C. 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 has grown 2 inches more than the bean plant.
C. 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.
C. 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 first need to determine the rate at which each plant is growing per day. We can calculate this by dividing the total growth by the number of days.
For the bean plant, it grows 2 inches in 2 days, so the rate of growth per day is 2 inches divided by 2 days, which equals 1 inch per day.
For the strawberry plant, it grows 4 inches in 5 days, so the rate of growth per day is 4 inches divided by 5 days. To simplify this, we can express it as a decimal by dividing 4 by 5, which equals 0.8 inches per day.
Now, let's analyze the answer choices:
A. Both plants are growing every day.
This statement is true, as both plants are growing at a constant rate.
B. The bean plant grows at a slower rate because it grows 2 inches while the strawberry plant grows 4 inches.
This statement is incorrect. The rate of growth is determined by the growth per day, not the total growth over a given period. Since the bean plant grows 1 inch per day and the strawberry plant grows 0.8 inches per day, the bean plant actually grows at a faster rate.
C. 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. As mentioned earlier, the strawberry plant grows at a rate of 0.8 inches per day, which is lower than the bean plant's rate of 1 inch per day. Therefore, the strawberry plant grows at a slower rate.
D. The strawberry plant has grown 2 inches more than the bean plant.
This statement can't be determined based on the information given. The total growth of each plant is not related to their rates of growth.
Therefore, the correct answer is C. 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.