Question

soda (oz)
2
4
10
sugar (g)
3
6
15
when two quantities are always in an equivalent ratio, they have what’s called a proportional relationship.
explain why the relationship between the ounces of soda and grams of sugar in the table is proportional.

Explanation:

Step1: Calculate ratios for each pair

For the first pair: Soda = 2, Sugar = 3. Ratio: $\frac{3}{2} = 1.5$
For the second pair: Soda = 4, Sugar = 6. Ratio: $\frac{6}{4} = 1.5$
For the third pair: Soda = 10, Sugar = 15. Ratio: $\frac{15}{10} = 1.5$

Step2: Check if ratios are equal

All ratios (sugar to soda) are 1.5, so the relationship is proportional as the ratio between sugar and soda is constant.

Answer:

The relationship between ounces of soda and grams of sugar is proportional because the ratio of sugar to soda ($\frac{\text{Sugar}}{\text{Soda}}$) is constant (1.5) for all pairs in the table.