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?
Answer:
- Yes, your total savings on gas is proportional to the number of beverages you purchase.
Step-by-step 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
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