2023 AMC 8 Problem 3

Attempt Problem 3 of the 2023 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2023 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

3.

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:
W=T−0.7⋅SW=T-0.7\cdot S
Here WW represents the wind chill, TT represents air temperature measured in degrees Fahrenheit (∘F),(^{\circ}F), and SS represents wind speed measured in miles per hour (mph).
Suppose the air temperature is 36∘F36^{\circ}F and the wind speed is 1818 mph. Which of the following is closest to the approximate wind chill?
1818
2323
2828
3232
3535
Answer: B
Concepts:substitutiondecimalestimation
Small hint:
Substitute T=36T=36 and S=18S=18
Big hint:
0.7⋅180.7\cdot18 is a little more than 1212
Video solution:
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Written solution:
Using the formula, the wind chill is
36−0.7⋅18=36−12.6=23.4.\begin{align*} 36 - 0.7 \cdot 18 &= 36 - 12.6 \\ &=23.4. \end{align*}
The closest choice is 23.23.
Thus, B is the correct answer.
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