Question
A bowling alley charges $15 per game. Customers are not charged to rent bowling shoes.
Which statement is true, based on the given description?
The description shows a linear relationship, but not a proportional relationship.
The description shows a linear relationship and a proportional relationship.
The description does not show a linear relationship or a proportional relationship.
The description shows a proportional relationship, but not a linear relationship.
Which statement is true, based on the given description?
The description shows a linear relationship, but not a proportional relationship.
The description shows a linear relationship and a proportional relationship.
The description does not show a linear relationship or a proportional relationship.
The description shows a proportional relationship, but not a linear relationship.
Answers
GPT-4o mini
The correct statement based on the given description is:
**The description shows a linear relationship, but not a proportional relationship.**
Here's why:
- A linear relationship exists because the cost increases by a consistent amount ($15) for each additional game played.
- However, it is not a proportional relationship because a proportional relationship would mean that one quantity is a constant multiple of another, and typically there is no fixed starting value (in this case, the cost of bowling is not zero; there is an additional cost that does not vary with the number of games played).
In this case, since shoe rental is free and does not add a variable cost that scales with the number of games, it breaks the proportional aspect.
**The description shows a linear relationship, but not a proportional relationship.**
Here's why:
- A linear relationship exists because the cost increases by a consistent amount ($15) for each additional game played.
- However, it is not a proportional relationship because a proportional relationship would mean that one quantity is a constant multiple of another, and typically there is no fixed starting value (in this case, the cost of bowling is not zero; there is an additional cost that does not vary with the number of games played).
In this case, since shoe rental is free and does not add a variable cost that scales with the number of games, it breaks the proportional aspect.