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

(Video Solution 2 by SpreadTheMathLove)
(Problem)
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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.  
 
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.  
  
<math>\textbf{(A)}\ 24\qquad \textbf{(B)}\ 25\qquad \textbf{(C)}\ 26\qquad \textbf{(D)}\ 27\qquad \textbf{(E)}\ 28</math>
+
<math>\textbf{(A)}\ 399\qquad \textbf{(B)}\ 414\qquad \textbf{(C)}\ 420\qquad \textbf{(D)}\ 444\qquad \textbf{(E)}\ 459</math>
  
 
==Solution 1==
 
==Solution 1==

Revision as of 19:56, 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.

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

Solution 1

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

-ILoveMath31415926535

Solution 1

For each year that has passed, the ppm will increase by $50$. In $2030$, the CO2 would have increased by $50\cdot 1.515 \approx 76,$ so the total ppm of CO2 will be $76 + 338 = \boxed{\textbf{(B)\ 414}}.$


-Benedict T (countmath1)

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

Video Solution by CosineMethod [🔥Fast and Easy🔥]

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

See Also

2024 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 9
Followed by
Problem 11
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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