money Oliver takes aluminum cans to recycling center in the center pays cash based on the total weight of the aluminum cancer of the brain to the center the graph shows the proportional relationship between weight and pounds of aluminum cans all of our brains in the center X and the amount in dollars the center pays why what is the cost of proportionality in this relationship

Answer 1

To determine the cost of proportionality in the relationship between the weight of aluminum cans and the amount of money Oliver receives, you can identify the constant of proportionality (often denoted as "k") from the given graph.

The constant of proportionality is calculated as follows:

1. Identify two points on the graph: For example, if one point is (weight in pounds, payment in dollars), such as (10, $5) and another point is (20, $10).

2. Calculate the ratio: The constant of proportionality can be found by dividing the payment by the weight: \[ k = \frac{\text{Payment in dollars}}{\text{Weight in pounds}} \]

   From the first point: \[ k = \frac{5}{10} = 0.5 \] From the second point: \[ k = \frac{10}{20} = 0.5 \]

3. Conclusion: In these examples, the cost of aluminum per pound is $0.5, meaning Oliver gets paid $0.50 for each pound of aluminum cans he brings to the recycling center.

If you have specific values from the graph, you would substitute them in the above method to find the constant of proportionality.