Final answer:
After calculating the cost per ounce for each given weight and cost pair, it was found each cost per ounce is consistent at $0.40 per ounce, indicating that the cost is proportional to the weight. The statement is therefore True.
Step-by-step explanation:
To determine whether the cost is proportional to the weight, we need to check if the cost per ounce is constant across different weights. For each pair of weights and costs, we can calculate the cost per ounce and compare the values. If the cost per ounce changes, then the cost is not proportional to weight.
Using the given data:
For 12.5 ounces at $5, the cost per ounce is $5 / 12.5 ounces = $0.40 per ounce.
For 10 ounces at $4, the cost per ounce is $4 / 10 ounces = $0.40 per ounce.
For 5 ounces at $2, the cost per ounce is $2 / 5 ounces = $0.40 per ounce.
For 8 ounces at $3.20, the cost per ounce is $3.20 / 8 ounces = $0.40 per ounce.
Since the cost per ounce is consistent at $0.40 per ounce for all weights provided, the cost is proportional to the weight. The answer to the statement "The cost is proportional to the weight" is True.