Bottles: 1 2 3 4
Weight (Ib): 1.25 2.5 3.75 5.0
What is the dependent value
And
What’s the independent value?
The dependent variable is the weight (Ib) and the independent variable is the number of bottles.
What is the constant of proportionality of this question?
To determine the constant of proportionality, we need to find the ratio of the dependent variable to the independent variable for any given data point.
Let's take the first data point:
Number of bottles: 1
Weight (Ib): 1.25
The ratio of weight to the number of bottles is 1.25/1 = 1.25.
We can see that this ratio is consistent for all the data points:
1.25/1 = 2.5/2 = 3.75/3 = 5.0/4 = 1.25
Hence, the constant of proportionality is 1.25.
What is the relationship between the number of bottles (b) and weight? (W)
The relationship between the number of bottles (b) and weight (W) is directly proportional. As the number of bottles increases, the weight also increases at a constant rate. In this case, the weight of the bottles doubles with each additional bottle.
The answer has to be a number
Apologies for the confusion. The relationship between the number of bottles (b) and weight (W) can be expressed by the equation:
W = 1.25 * b
Here, 1.25 is the constant of proportionality, indicating that for each additional bottle, the weight increases by 1.25 units.