Difference between revisions of "2024 AMC 8 Problems/Problem 10"

Latest revision as of 15:47, 24 December 2024

1 Problem
2 Solution 1
3 Solution 2
4 Video Solution by Central Valley Math Circle(Goes through the full thought process)
5 Video Solution by Math-X (First fully understand the problem!!!)
6 Video Solution (A Clever Explanation You’ll Get Instantly)
7 Video Solution 1 (easy to digest) by Power Solve
8 Video Solution by NiuniuMaths (Easy to understand!)
9 Video Solution 2 by SpreadTheMathLove
10 Video Solution by CosineMethod [🔥Fast and Easy🔥]
11 Video Solution by Interstigation
12 Video Solution by Daily Dose of Math (Certified, Simple, and Logical)
13 Video Solution by WhyMath
14 See Also

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 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

2024 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 9	Followed by Problem 11
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All AJHSME/AMC 8 Problems and Solutions

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