2022 AMC 8 Problems/Problem 9
Contents
Problem
A cup of boiling water () is placed to cool in a room whose temperature remains constant at . Suppose the difference between the water temperature and the room temperature is halved every minutes. What is the water temperature, in degrees Fahrenheit, after minutes?
Solution
Initially, the difference between the water temperature and the room temperature is degrees Fahrenheit.
After minutes, the difference between the temperatures is degrees Fahrenheit.
After minutes, the difference between the temperatures is degrees Fahrenheit.
After minutes, the difference between the temperatures is degrees Fahrenheit. At this point, the water temperature is degrees Fahrenheit.
Remark
Alternatively, we can condense the solution above into the following equation: ~MRENTHUSIASM ~MathFun1000
Video Solution by Math-X (First understand the problem!!!)
https://youtu.be/oUEa7AjMF2A?si=l1o2Qg5grdDcniVg&t=1179
~Math-X
Video Solution (CREATIVE THINKING!!!)
~Education, the Study of Everything
Video Solution
https://www.youtube.com/watch?v=Ij9pAy6tQSg&t=627
~Interstigation
Video Solution
https://youtu.be/1xspUFoKDnU?t=253
~STEMbreezy
Video Solution
~savannahsolver
Video Solution
~harungurcan
See Also
2022 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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.