2024 AMC 8 Problem 10

Attempt Problem 10 of the 2024 AMC 8 below, then check your answer against the video solution and professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

10.

In January 19801980 the Mauna Loa Observatory recorded carbon dioxide CO22 levels of 338338 ppm (parts per million). Over the years the average CO22 reading has increased by about 1.5151.515 ppm each year. What is the expected CO22 level in ppm in January 2030?2030? Round your answer to the nearest integer.
399399
414414
420420
444444
459459
Answer: B
Concepts:arithmetic sequencedecimalestimation
Small hint:
There are 5050 years from January 19801980 to January 20302030
Big hint:
Estimate 50⋅1.51550\cdot1.515, then add the 19801980 level
Video solution:
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Written solution:
There are 5050 years between 19801980 and 20302030, so we can expect the CO22 reading to increase by 50×1.515=75.75≈7650 \times 1.515 = 75.75 \approx 76 ppm by 20302030. Since the CO22 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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