2024 AMC 10A 第 12 题

Question

Zelda 在八月

1

日玩 Adventures of Math 游戏并得了

1700

分。接下来的

5

天她每天都继续玩。下方柱状图显示了每天得分相比前一天的变化量。例如，Zelda 在八月

2

日的得分是

1700 + 80 = 1780

分。Zelda 在这

6

天中的平均得分是多少？

Zelda played the Adventures of Math game on August

1

and scored

1700

points. She continued to play daily over the next

5

days. The bar chart below shows the daily change in her score compared to the day before. (For example, Zelda’s score on August

2

was

1700 + 80 = 1780

points.) What was Zelda’s average score in points over the

6

days?

1700

1702

1703

1713

1715

逐日把当天变化量加到前一天得分上。

Build each day’s score by adding that day’s change to the previous day’s score

对六天得分

1700, 1780, 1690

、

1680, 1740, 1700

求平均。

Average the six daily scores

1700, 1780, 1690,

1680, 1740, 1700

从

1700

开始依次应用每日变化

+80, -90, -10, +60, -40

。六天得分为

1700, 1780, 1690

、

1680, 1740, 1700

。总和为

10290

，平均分为

\frac{10290}{6} = 1715

。所以正确答案是 E。

Apply the daily changes

+80, -90, -10, +60, -40

to the starting

1700.

The six scores are

1700, 1780, 1690,

1680, 1740, 1700.

They add to

10290,

so the average is

\frac{10290}{6} = 1715.

Therefore, the answer is E.

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