Difference between revisions of "2023 AMC 8 Problems/Problem 3"
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| − | == | + | ==Problem== |
| − | + | ||
| − | ~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat | + | <i>Wind chill</i> 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 |
| + | <cmath>(\text{wind chill}) = (\text{air temperature}) - 0.7 \times (\text{wind speed}),</cmath> | ||
| + | where temperature is measured in degrees Fahrenheit <math>(^{\circ}\text{F})</math> and and the wind speed is measured in miles per hour (mph). Suppose the air temperature is <math>36^{\circ}\text{F} </math> and the wind speed is <math>18</math> mph. Which of the following is closest to the approximate wind chill? | ||
| + | |||
| + | <math>\textbf{(A)}\ 18 \qquad \textbf{(B)}\ 23 \qquad \textbf{(C)}\ 28 \qquad \textbf{(B)}\ 32 \qquad \textbf{(E)}\ 35</math> | ||
| + | |||
| + | == Solution == | ||
| + | |||
| + | By substitution, we have | ||
| + | <cmath>\begin{align*} | ||
| + | (\text{wind chill}) &= 36 - 0.7 \times 18 \\ | ||
| + | &= 36 - 12.6 \\ | ||
| + | &= 23.4 \\ | ||
| + | &\approx \boxed{\textbf{(B)}\ 23}. | ||
| + | \end{align*}</cmath> | ||
| + | ~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat, MRENTHUSIASM | ||
| + | |||
| + | ==See Also== | ||
| + | {{AMC8 box|year=2023|num-b=2|num-a=4}} | ||
| + | {{MAA Notice}} | ||
Revision as of 22:45, 24 January 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
![\[(\text{wind chill}) = (\text{air temperature}) - 0.7 \times (\text{wind speed}),\]](http://latex.artofproblemsolving.com/6/6/8/66810c2843261301faabc4441239f8fa51b1f231.png)
where temperature is measured in degrees Fahrenheit 
and and the wind speed is measured in miles per hour (mph). Suppose the air temperature is 
and the wind speed is 
mph. Which of the following is closest to the approximate wind chill?
Solution
By substitution, we have
~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat, MRENTHUSIASM
See Also
| 2023 AMC 8 (Problems • Answer Key • Resources) | ||
| 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. 
