Difference between revisions of "2023 AMC 8 Problems/Problem 3"

(Solution)
Line 11: Line 11:
 
By substitution, we have
 
By substitution, we have
 
<cmath>\begin{align*}
 
<cmath>\begin{align*}
(\text{wind chill}) &= 36 - 0.7 \times 18 \
+
(\text{wind chill}) &= (\text{air temperature}) - 0.7 \times (\text{wind speed}) \
 +
&= 36 - 0.7 \times 18 \
 
&= 36 - 12.6 \
 
&= 36 - 12.6 \
 
&= 23.4 \
 
&= 23.4 \
 
&\approx \boxed{\textbf{(B)}\ 23}.
 
&\approx \boxed{\textbf{(B)}\ 23}.
 
\end{align*}</cmath>
 
\end{align*}</cmath>
~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat, MRENTHUSIASM
+
~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat, lpieleanu, MRENTHUSIASM,
  
 
==Video Solution by Magic Square==
 
==Video Solution by Magic Square==

Revision as of 10:13, 6 May 2023

Problem

Wind chill is a measure of how cold people feel when exposed to wind outside. A good estimate for wind chill can be found using this calculation \[(\text{wind chill}) = (\text{air temperature}) - 0.7 \times (\text{wind speed}),\] where temperature is measured in degrees Fahrenheit $(^{\circ}\text{F})$ and the wind speed is measured in miles per hour (mph). Suppose the air temperature is $36^{\circ}\text{F}$ and the wind speed is $18$ mph. Which of the following is closest to the approximate wind chill?

$\textbf{(A)}\ 18 \qquad \textbf{(B)}\ 23 \qquad \textbf{(C)}\ 28 \qquad \textbf{(D)}\ 32 \qquad \textbf{(E)}\ 35$

Solution

By substitution, we have \begin{align*} (\text{wind chill}) &= (\text{air temperature}) - 0.7 \times (\text{wind speed}) \\ &= 36 - 0.7 \times 18 \\ &= 36 - 12.6 \\ &= 23.4 \\ &\approx \boxed{\textbf{(B)}\ 23}. \end{align*} ~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat, lpieleanu, MRENTHUSIASM,

Video Solution by Magic Square

https://youtu.be/-N46BeEKaCQ?t=5606

Video Solution by SpreadTheMathLove

https://www.youtube.com/watch?v=EcrktBc8zrM

Video Solution by Interstigation

https://youtu.be/1bA7fD7Lg54?t=113

(Creative Thinking) Video Solution

https://youtu.be/lVgjbLPvzt8

~Education the Study of everything

Video Solution by WhyMath

https://youtu.be/k5hyZnmya14

~savannahsolver

Video Solution by harungurcan

https://www.youtube.com/watch?v=35BW7bsm_Cg&t=230s

~harungurcan

See Also

2023 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
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. AMC logo.png