A bean plant grows 2 inches in two days. A strawberry plant grows 4 inches in five days. Compare the two proportional relationships. Assume each plant is growing at a constant rate.
To compare the two proportional relationships, we can find the rates of growth for each plant.
For the bean plant, it grows 2 inches in 2 days. The rate of growth is 2 inches per 2 days, or 1 inch per day.
For the strawberry plant, it grows 4 inches in 5 days. The rate of growth is 4 inches per 5 days, which can be simplified to 0.8 inches per day (divide both numerator and denominator by 5).
Comparing the two rates of growth, we see that the strawberry plant grows at a faster rate with 0.8 inches per day, compared to the bean plant which grows at a rate of 1 inch per day.
To compare the two proportional relationships, we need to compute the rate at which each plant is growing per day. Let's start with the bean plant.
The bean plant grows 2 inches in 2 days, so we can calculate its daily growth rate by dividing the total growth (2 inches) by the number of days (2 days):
Daily growth rate of the bean plant = 2 inches / 2 days = 1 inch per day
Now let's calculate the growth rate of the strawberry plant.
The strawberry plant grows 4 inches in 5 days:
Daily growth rate of the strawberry plant = 4 inches / 5 days = 0.8 inches per day
Now that we have the growth rates for both plants, we can compare them.
The bean plant has a daily growth rate of 1 inch per day, while the strawberry plant has a daily growth rate of 0.8 inches per day. Therefore, we can conclude that the bean plant grows faster than the strawberry plant.
In proportional terms, the ratio of bean plant growth to strawberry plant growth is:
1 inch per day (bean plant) : 0.8 inches per day (strawberry plant)
Simplifying this ratio, we can say that the bean plant grows approximately 1.25 times faster than the strawberry plant.
To compare the two proportional relationships, we need to determine the rate of growth for each plant.
For the bean plant:
Rate of growth = Change in height / Change in days = 2 inches / 2 days = 1 inch per day
For the strawberry plant:
Rate of growth = Change in height / Change in days = 4 inches / 5 days = 0.8 inches per day
Now, let's compare the rates of growth for both plants.
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 has a faster growth rate compared to the strawberry plant.