2024 AMC 8

Complete problem set with solutions and individual problem pages

Problem 10 Easy

In January 1980 the Mauna Loa Observatory recorded carbon dioxide (CO2) levels of 338 ppm (parts per million). Over the years the average CO2 reading has increased by about 1.515 ppm each year. What is the expected CO2 level in ppm in January 2030? Round your answer to the nearest integer.

  • A.

    399

  • B.

    414

  • C.

    420

  • D.

    444

  • E.

    459

Answer:B

Solution 1

This is a time period of 2030 - 1980 = 50 years, so we can expect the ppm to increase by 50*1.515=75.75\approx 76 ppm. Since we started with 338 ppm, we have 76+338=\boxed{\textbf{(B) 414}}.

 

Solution 2

2030 - 1980 = 50 years. The ppm level in 2030 is 338 + 50 * 1.515 = 338 + 75.75 = 413.75 \approx \boxed{\textbf{(B) 414}}.