nalinnair wrote:
When the wind speed is 9 miles per hour, the wind-chill factor w is given by
\(w = -17.366 + 1.19t\),
where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?
(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.
(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit
Solution:
Question Stem Analysis:
We need to determine whether w, the wind-chill factor, is greater than 0. If w = 0, we have:
0 = -17.366 + 1.19t
17.366 = 1.19t
t = 17.366/1.19 ≈ 14.6
That is, if t > 14.6, then w > 0. So we really need to determine whether t > 14.6.
Statement One Alone:We are given that t > 10. However, we don’t know if t is greater than 14.6. If t = 15, then w > 0. However, if t = 14, then w is not greater than 0. Statement one alone is sufficient.
Statement Two Alone:We are given that t < 20. However, we don’t know if t is greater than 14.6. If t = 15, then w > 0. However, if t = 14, then w is not greater than 0. Statement one alone is sufficient.
Statements One and Two Together:With the two statements, we have 10 < t < 20. However, we still don’t know if t is greater than 14.6. If t = 15, then w > 0. However, if t = 14, then w is not greater than 0. Both statements together are not sufficient.
Answer: E _________________
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