Question

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.

Is your total savings on gas proportional to the number of beverages you purchase?

Yes Or No

Answer 1

Yes, your total savings on gas is 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:

number of beverage purchased

savings

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

savings / beverages purchase = $ 0.20 / beverage

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