Question

A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relationship the relationship between the amount of oil and the amount of vinegar needed to make the salad dressing according to this recipe. The point(1 ,1.5) is on the line.

write an equation that represents the proportional relationship between oil and vinegar. indicate the meaning of each variable

Answer 1

The equation representing the proportional relationship between oil and vinegar in the recipe is oil = 1.5 * vinegar, where 'oil' and 'vinegar' are the amounts in tablespoons.

Step-by-step explanation:

The student is asked to write an equation that represents the proportional relationship between oil and vinegar in a salad dressing recipe that calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The point (1, 1.5) being on the line confirms that when you have 1 tablespoon of vinegar, you need 1.5 tablespoons of oil. From the given ratio, we can set up the initial equation as oil/vinegar = 3/2. Since we know the point (1, 1.5) is on the line, we can use this information to cross-multiply and find the equation that describes the proportional relationship:

oil = 1.5 * vinegar

This equation can be used to calculate the amount of oil needed for any given amount of vinegar to maintain the recipe's ratio. In this equation, oil represents the amount of oil in tablespoons, and vinegar represents the amount of vinegar in tablespoons. This linear relationship is based on the principle of stoichiometry, which is used in various contexts, such as cooking and scientific experiments, to maintain ratios of substances.