Final answer:
The relationship between the amount of peanut butter (in grams) and the amount of protein can be described by the equation Pr = (7 / 32) × P, where Pr is the protein in grams, and P is the total peanut butter mass. This proportion means peanut butter is 21.875% protein by weight.
Step-by-step explanation:
To establish the relationship between the amount of peanut butter and the amount of protein, we can use the information provided on the nutritional label of peanut butter. Given that one serving size of peanut butter, which is 32 grams, contains 7 grams of protein, we can express this as a proportion. Let P represent the total amount of peanut butter (in grams) and Pr represent the protein (in grams). The equation to describe this relationship would be:
Pr = (7 / 32) × P,
Where P is the mass of peanut butter purchased or consumed. This equation shows that the mass of protein (Pr) is directly proportional to the mass of peanut butter (P). To find the protein content for any quantity of peanut butter, simply multiply the total mass by the fraction 7/32, or approximately 0.21875, which is the proportion of protein in the peanut butter.
Converting this to a percentage, we can say that the peanut butter is 21.875% protein by weight.