Question

determine if each situation represents a proporti your reasoning. (examples 1 and 2) 1. a salad dressing calls for 3 parts oil and 1 part vinegar. manuela uses 2 tablespoons of vinegar and 6 tablespoons of oil to make her salad dressing.

Explanation:

Step1: Recall Proportion Definition

A proportion exists if two ratios are equal. The ratio of oil to vinegar in the recipe is \( \frac{\text{oil}}{\text{vinegar}}=\frac{3}{1} \).

Step2: Calculate Manuela's Ratio

Manuela uses 6 tablespoons of oil and 2 tablespoons of vinegar, so her ratio is \( \frac{\text{oil}}{\text{vinegar}}=\frac{6}{2} \). Simplify \( \frac{6}{2} = 3 \), and \( \frac{3}{1}=3 \).

Step3: Compare Ratios

Since \( \frac{3}{1}=\frac{6}{2} \) (both equal 3), the ratios are equal.

Answer:

This situation represents a proportion because the ratio of oil to vinegar in the recipe (\( \frac{3}{1} \)) is equal to the ratio of oil to vinegar Manuela used (\( \frac{6}{2} \)).