2024 AMC 10A Problem 12

Question

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

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

Average the six daily scores

1700, 1780, 1690,

1680, 1740, 1700

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.

Problem 12 in other years