At the gas station, each liter of gas costs $ 3 $3dollar sign, 3, but there's a promotion that for every beverage you purchase you save $ 0.20 $0.20dollar sign, 0, point, 20 on gas.

The complete question is:

At the gas station, each liter of gas costs $3dollar but there's a promotion that for every beverage you purchase you save $0.20 dollar on gas. Is your total savings on gas proportional to the number of beverages you purchase?

Explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages   savings    ratio

         1                              $ 0.20      $0.20 / 1 beverage = 0.20

         2                             $ 0.40      $0.40 / 2 beverages = 0.20

         3                             $ 0.60       $0.60 / 3 beverages = 0.20

         4                             $ 0.80       $0.80 / 4 beverages = 0.20

nope

step-by-step explanation: