The graph shown indicates the possible points that can be earned while playing a video game. With each successive game level, the possible regular points increases by a constant amount; and the possible bonus points decreases by a constant amount. The number of possible regular points will be how much greater than the number of possible bonus points in level 6 if this trend continues?

Rationale

The number of possible regular points will be 300 greater than the number of possible bonus points in level 6.

In this scenario, the points for regular gameplay increase consistently with each level, while bonus points decrease steadily. By analyzing the patterns and applying them to level 6, we can determine the difference in points.

A (400) YOUR ANSWER

This choice suggests a difference of 400 points between regular and bonus points at level 6. However, the calculations based on the established trends indicate that the difference is less than this value, meaning it does not accurately reflect the outcome of level 6.

B (300) CORRECT

This is the correct option, as it aligns with the calculated difference between regular and bonus points at level 6. Observing the patterns in the graph reveals that by the sixth level, the increase in regular points and the decrease in bonus points culminate in a difference of exactly 300 points.

C (225) YOUR ANSWER

This choice underestimates the difference between regular and bonus points at level 6. The calculations show that the value is higher than 225, indicating that this option does not correspond to the trends established in the game.

D (150) YOUR ANSWER

A difference of 150 points implies a much smaller gap than what occurs at level 6. The trends in points suggest that regular points have increased significantly more than the bonus points have decreased, thus making this option incorrect.

Conclusion

The analysis of the video game points system demonstrates a clear increase in regular points juxtaposed with a decrease in bonus points as players progress through levels. For level 6, the calculated difference reveals that regular points exceed bonus points by 300, providing insight into the game's scoring dynamics. Understanding these trends is crucial for strategic gameplay and maximizing potential scores.

The number of possible regular points will be 300 greater than the number of possible bonus points in level 6.

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