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

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==Problem==
 
==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.  
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In January <math>1980</math> the Mauna Loa Observatory recorded carbon dioxide (CO2) levels of <math>338</math> ppm (parts per million). Over the years the average CO2 reading has increased by about <math>1.515</math> ppm each year. What is the expected CO2 level in ppm in January <math>2030</math>? Round your answer to the nearest integer.  
  
(A) <math>399</math>  (B) <math>414</math>  (C) <math>420</math>  (D) <math>444</math>  (E) <math>459</math>
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<math>\textbf{(A)}\ 24\qquad \textbf{(B)}\ 25\qquad \textbf{(C)}\ 26\qquad \textbf{(D)}\ 27\qquad \textbf{(E)}\ 28</math>
  
 
==Solution 1==
 
==Solution 1==

Revision as of 14:53, 26 January 2024

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.

$\textbf{(A)}\ 24\qquad \textbf{(B)}\ 25\qquad \textbf{(C)}\ 26\qquad \textbf{(D)}\ 27\qquad \textbf{(E)}\ 28$

Solution 1

This is a time period of $50$ years, so we can expect the ppm to increase by $50*1.515=75.75~76$. $76+338=(B) \boxed{414}$.

-ILoveMath31415926535

Video Solution 1 (easy to digest) by Power Solve

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

Video Solution 2 by SpreadTheMathLove

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