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When Jules loses a golf ball he takes another from the box. Which graph models this relationship?

A graph has golf balls lost on the x-axis and gold balls in box on the y-axis. A line with positive slope is on the graph.
A graph has golf balls lost on the x-axis and gold balls in box on the y-axis. A line with negative slope is on the graph.
A graph has golf balls lost on the x-axis and gold balls in box on the y-axis. Points form a line with positive slope.
A graph has golf balls lost on the x-axis and gold balls in box on the y-axis. Points form a line with negative slope.

1 answer

To understand the relationship described, let's analyze the situation:

When Jules loses a golf ball, he takes another one from the box. This means that for every golf ball lost, the number of golf balls in the box decreases by one.

  1. Golf balls lost (x-axis): This will increase as Jules loses more balls.
  2. Golf balls in the box (y-axis): This will decrease as he takes one out for each ball lost.

Thus, as the number of golf balls lost increases (moving right on the x-axis), the number of golf balls in the box decreases (moving down on the y-axis). This relationship would create a downward (negative) slope on the graph.

Given this analysis, the correct option is: A graph has golf balls lost on the x-axis and gold balls in box on the y-axis. A line with negative slope is on the graph.