Final answer:
The total savings on gas is indeed proportional to the number of beverages purchased, as each beverage saves a fixed amount on gas, creating a straight-line proportional relationship.
Step-by-step explanation:
Yes, your total savings on gas is proportional to the number of beverages you purchase. This is because for every beverage bought, you save a fixed amount of $0.20 on gas. Proportionality means that as one quantity increases, another quantity increases at a constant rate, which in this case is the savings per beverage. If you purchase one beverage, you save $0.20; if you buy two, you save $0.40; and so on. This exhibits a straight-line relationship between the number of beverages purchased and the total savings on gas, which is a characteristic of proportional relationships.