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
To compare the two proportional relationships, we can look at the rate of change (slope) for each relationship.
For the bean plant, it grows 2 inches in 2 days. The rate of change can be calculated as:
Rate of change = Change in y (inches) / Change in x (days)
Rate of change = 2 inches / 2 days
Rate of change = 1 inch/day
For the strawberry plant, it grows 4 inches in 5 days. The rate of change can be calculated as:
Rate of change = Change in y (inches) / Change in x (days)
Rate of change = 4 inches / 5 days
Rate of change = 0.8 inches/day
Comparing the two rates of change, we can see that the bean plant grows at a faster rate (1 inch/day) compared to the strawberry plant (0.8 inches/day).
To compare the two proportional relationships, we need to calculate the rate of growth for each plant.
For the bean plant:
Rate of growth = Change in height / Change in time
= 2 inches / 2 days
= 1 inch/day
For the strawberry plant:
Rate of growth = Change in height / Change in time
= 4 inches / 5 days
= 0.8 inches/day
Comparing the two rates of growth, we see that the bean plant is growing at a faster rate (1 inch/day) compared to the strawberry plant (0.8 inches/day).
To compare the two proportional relationships, we need to determine the rate at which each plant is growing. The rate is the amount of growth per unit of time.
For the bean plant, it grows 2 inches in 2 days. To find the rate, we divide the amount of growth (2 inches) by the time period (2 days).
Rate of bean plant = 2 inches / 2 days = 1 inch per day
Similarly, for the strawberry plant, it grows 4 inches in 5 days. Again, we find the rate by dividing the amount of growth (4 inches) by the time period (5 days).
Rate of strawberry plant = 4 inches / 5 days = 0.8 inches per day
Now we can compare the two rates. The bean plant grows at a rate of 1 inch per day, while the strawberry plant grows at a rate of 0.8 inches per day.
Comparing the rates, we can see that the bean plant grows faster than the strawberry plant.