2024 AMC 8 Problems/Problem 10: Difference between revisions

Latest revision as of 14:30, 18 August 2025

Problem

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.

$\textbf{(A)}\ 399\qquad \textbf{(B)}\ 414\qquad \textbf{(C)}\ 420\qquad \textbf{(D)}\ 444\qquad \textbf{(E)}\ 459$

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 $76+338=\boxed{\textbf{(B)\ 414}}$ .

-ILoveMath31415926535

Solution 2

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

~thebanker88

Video by MathTalks 😉

https://youtu.be/9GVWXv9Pg1E?si=lhCKMjJ0wvfc_MfY

~rc1219

Video Solution by Central Valley Math Circle(Goes through the full thought process)

https://youtu.be/qjb6WP1gjIQ

~mr_mathman

Video Solution by Math-X (First fully understand the problem!!!)

https://youtu.be/BaE00H2SHQM?si=kk52okhz__aC8g9l&t=2078

~Math-X

Video Solution (A Clever Explanation You’ll Get Instantly)

https://youtu.be/5ZIFnqymdDQ?si=ATKTcOdaVPGWU8_V&t=1089

~hsnacademy

Video Solution 1 (easy to digest) by Power Solve

https://youtu.be/16YYti_pDUg?si=T3FZAZoeeL5NP3yR&t=411

Video Solution by NiuniuMaths (Easy to understand!)

https://www.youtube.com/watch?v=V-xN8Njd_Lc

~NiuniuMaths

Video Solution 2 by SpreadTheMathLove

https://www.youtube.com/watch?v=L83DxusGkSY

Video Solution by CosineMethod [🔥Fast and Easy🔥]

https://www.youtube.com/watch?v=uceM9Gek944

Video Solution by Interstigation

https://youtu.be/ktzijuZtDas&t=938

Video Solution by Daily Dose of Math (Certified, Simple, and Logical)

https://youtu.be/8GHuS5HEoWc

~Thesmartgreekmathdude

Video Solution by WhyMath

https://youtu.be/l7umQHZljeI

Video solution by TheNeuralMathAcademy

https://youtu.be/f63MY1T2MgI&t=765s

@@ Line 17: / Line 17: @@
 ~thebanker88
+==Video by MathTalks 😉==
+https://youtu.be/9GVWXv9Pg1E?si=lhCKMjJ0wvfc_MfY
+ ~rc1219
 ==Video Solution by Central Valley Math Circle(Goes through the full thought process)==
@@ Line 22: / Line 31: @@
 ~mr_mathman
 ==Video Solution by Math-X (First fully understand the problem!!!)==
 https://youtu.be/BaE00H2SHQM?si=kk52okhz__aC8g9l&t=2078
@@ Line 57: / Line 67: @@
 ==Video Solution by WhyMath==
 https://youtu.be/l7umQHZljeI
+== Video solution by TheNeuralMathAcademy ==
+https://youtu.be/f63MY1T2MgI&t=765s
 ==See Also==
 {{AMC8 box|year=2024|num-b=9|num-a=11}}
 {{MAA Notice}}
+[[Category:Introductory Algebra Problems]]

2024 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 9	Followed by Problem 11
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