Which statement accurately reflects this situation?

Paul and Jason both have subscriptions to online game accounts. For each game they play, they lose points from their online accounts depending on which game they play. The points in their accounts over time are shown in the graphs below.

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Which statement accurately reflects this situation?

The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account. Jason's account runs out of points 5 games before Paul's account runs out of points.

The initial number of points in Paul's account was 15 points less than the initial number of points in Jason's account. Jason's account runs out of points 5 games before Paul's account runs out of points.

The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account. Paul's account runs out of points 5 games before Jason's account runs out of points.

The initial number of points in Paul's account was 15 points less than the initial number of points in Jason's account. Paul's account runs out of points 5 games before Jason's account runs out of points.

2 Answers
Jun 26, 2018

1st Situation

Explanation:

First, List things we know

Paul starts with 15pts more than Jason, Jason has 45pts at 0 games and Paul has 60pts.

Jason runs out of points at 5 games as this is when his graph touches the bottom. Paul runs out at 10 games. This means Jason runs out 5 games before Jason.

Situation 2 is false as it says Paul has less pts, but we said above he has more.

Situation 3 is false as it says Paul runs out 5 games before Jason, we said above he ran out after Jason not before.

Situation 4 once again says Paul starts with less points than Jason but we said above he started with more.

Therefore Situation 1 is correct.

Jun 26, 2018

The first statement.

Explanation:

First, Jason's account was 15 points less than the initial number of points in Paul's account. Why? At the beginning (#x=0#) Jason's account has 35 points while Paul's account has 50 points.

Secondly, Jason's account runs out of points 5 games before Paul's account runs out of points. Why? To run out of points means that they have #0# points left (#y=0#). This is in Jason's case at game 5 and in Paul's case at game 10. Therefore, Jason ran out of points 5 games before Paul did.