Difference between revisions of "2024 AMC 8 Problems/Problem 10"
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==Problem== | ==Problem== | ||
| − | 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 <math>(CO2)</math> levels of <math>338</math> ppm (parts per million). Over the years the average <math>CO2</math> reading has increased by about <math>1.515</math> ppm each year. What is the expected <math>CO2</math> level in ppm in January <math>2030</math>? Round your answer to the nearest integer. |
<math>\textbf{(A)}\ 399\qquad \textbf{(B)}\ 414\qquad \textbf{(C)}\ 420\qquad \textbf{(D)}\ 444\qquad \textbf{(E)}\ 459</math> | <math>\textbf{(A)}\ 399\qquad \textbf{(B)}\ 414\qquad \textbf{(C)}\ 420\qquad \textbf{(D)}\ 444\qquad \textbf{(E)}\ 459</math> | ||
| Line 7: | Line 7: | ||
==Solution 1== | ==Solution 1== | ||
| − | This is a time period of <math>50</math> years, so we can expect the ppm to increase by <math>50*1.515=75.75 | + | This is a time period of <math>2030 - 1980 = 50</math> years, so we can expect the ppm to increase by <math>50*1.515=75.75\approx 76</math> ppm. |
| − | <math>76+338=\boxed{\textbf{(B)\ 414}}</math>. | + | Since we started with <math>338</math> ppm, we have <math>76+338=\boxed{\textbf{(B)\ 414}}</math>. |
-ILoveMath31415926535 | -ILoveMath31415926535 | ||
| + | ==Solution 2== | ||
| + | <math>2030 - 1980 = 50</math> years. | ||
| + | The ppm level in 2030 is <math>338 + 50 * 1.515 = 338 + 75.75 = 413.75</math> <math> | ||
| + | \approx \boxed{\textbf{(B)\ 414}}</math>. | ||
| + | |||
| + | ~thebanker88 | ||
| − | ==Solution | + | ==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== | ==Video Solution 1 (easy to digest) by Power Solve== | ||
https://youtu.be/16YYti_pDUg?si=T3FZAZoeeL5NP3yR&t=411 | 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== | ==Video Solution 2 by SpreadTheMathLove== | ||
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https://www.youtube.com/watch?v=uceM9Gek944 | 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 | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2024|num-b=9|num-a=11}} | {{AMC8 box|year=2024|num-b=9|num-a=11}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Latest revision as of 06:33, 15 November 2024
Contents
- 1 Problem
- 2 Solution 1
- 3 Solution 2
- 4 Video Solution by Math-X (First fully understand the problem!!!)
- 5 Video Solution (A Clever Explanation You’ll Get Instantly)
- 6 Video Solution 1 (easy to digest) by Power Solve
- 7 Video Solution by NiuniuMaths (Easy to understand!)
- 8 Video Solution 2 by SpreadTheMathLove
- 9 Video Solution by CosineMethod [🔥Fast and Easy🔥]
- 10 Video Solution by Interstigation
- 11 Video Solution by Daily Dose of Math (Certified, Simple, and Logical)
- 12 Video Solution by WhyMath
- 13 See Also
Problem
In January 
the Mauna Loa Observatory recorded carbon dioxide 
levels of 
ppm (parts per million). Over the years the average 
reading has increased by about 
ppm each year. What is the expected level in ppm in January 
? Round your answer to the nearest integer.
Solution 1
This is a time period of 
years, so we can expect the ppm to increase by 
ppm.
Since we started with ppm, we have 
.
-ILoveMath31415926535
Solution 2
years.
The ppm level in 2030 is 
.
~thebanker88
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)
~Thesmartgreekmathdude
Video Solution by WhyMath
See Also
| 2024 AMC 8 (Problems • Answer Key • Resources) | ||
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
