2024 AMC 8 Problem 10

Below is the video solution and professionally curated solution for Problem 10 of the 2024 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2024 AMC 8 solutions, or check the answer key.

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Concepts:arithmetic sequencedecimalestimation

Difficulty rating: 960

10.

In January 1980 the Mauna Loa Observatory recorded carbon dioxide CO2 levels of 338338 ppm (parts per million). Over the years the average CO2 reading has increased by about 1.5151.515 ppm each year. What is the expected CO2 level in ppm in January 2030? Round your answer to the nearest integer.

399399

414414

420420

444444

459459

Video solution:
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Written solution:

There are 5050 years between 19801980 and 20302030, so we can expect the CO2 reading to increase by 50×1.515=75.757650 \times 1.515 = 75.75 \approx 76 ppm by 20302030. Since the CO2 reading in 19801980 was 338338 ppm, then we will have 338+76=414338 + 76 = 414 ppm by 20302030.

Thus, B is the correct answer.

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