Question

The cost of 8 oz smoothie is $6 and the cost of 12 oz smoothie is $8.Is the

relationship between smoothie size and price proportional? Yes or no?

Answer 1

The relationship between smoothie size and its price is not proportional because the unit price for each smoothie option is different: $0.75 per oz for the 8 oz smoothie and $0.67 per oz for the 12 oz smoothie.

Step-by-step explanation:

The question is asking whether the relationship between the size of the smoothie and its price is proportional. A proportional relationship means that the ratio between two quantities remains constant. To determine if there is a proportional relationship between smoothie size and price here, you can calculate the unit price for each option and compare them.

For the 8 oz smoothie costing $6, the unit price is $6 ÷ 8 oz = $0.75 per oz.

For the 12 oz smoothie costing $8, the unit price is $8 ÷ 12 oz = $0.67 per oz.

Since the unit prices are not equal ($0.75 per oz vs. $0.67 per oz), the relationship between smoothie size and price is not proportional.