Final answer:
The relationship between smoothie size and price is not proportional because the cost per ounce for an 8 oz smoothie ($0.75) is not the same as the cost per ounce for a 12 oz smoothie ($0.67).
Step-by-step explanation:
To determine if the relationship between smoothie size and price is proportional, we need to compare the cost per ounce. A proportional relationship means that the ratios between two quantities are equal. Here, we are comparing the cost of an 8 oz smoothie, which is $6, to the cost of a 12 oz smoothie, which is $8.
Firstly, we need to figure out the cost per ounce for each smoothie:
- For the 8 oz smoothie: $6 ÷ 8 oz = $0.75 per oz
- For the 12 oz smoothie: $8 ÷ 12 oz = $0.67 per oz
Since $0.75 per oz is not equal to $0.67 per oz, we conclude that the relationship between smoothie size and price is not proportional.