SOLUTION: I need your help solving a radical word problem. I was given the following formula to use for this question: W=91.4-(10.5 + 6.7^v-.045v)(457-5t)/110 The wind chill temperatur

Algebra ->  Radicals -> SOLUTION: I need your help solving a radical word problem. I was given the following formula to use for this question: W=91.4-(10.5 + 6.7^v-.045v)(457-5t)/110 The wind chill temperatur      Log On


   

Question 190041: I need your help solving a radical word problem. I was given the following formula to use for this question:
W=91.4-(10.5 + 6.7^v-.045v)(457-5t)/110
The wind chill temperature is "W" (how cold the air feels). The temperature is "t" and the velocity is "v". I was asked the following question:
"Who will feel colder, a person in Minneapolis at 10 degrees F with a 15mph wind or a person in Chicago at 20 degrees F with a 25mph wind."
This is how I began to work it:
91.4-(10.5 + 6.7^15-6.75)(457-50)
91.4-(17.2 * ^8.25)(407)
Then I got lost. Can you help me with this?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
This same problem came up a few weeks ago, this is what I submitted then.
:
Determine who will feel colder: a person in Minneapolis at 10 degrees F with a 15 mph wind or a person in Chicago at 20 degrees F with a 25 mph wind.
The formula:
W = 91.4-%28%2810.5%2B6.7%2Asqrt%28v%29-0.45v%29%28457-5t%29%29%2F110
:
Minneapolis: t=10, v=15
W = 91.4-%28%2810.5%2B6.7%2Asqrt%2815%29-0.45%2815%29%29%28457-5%2810%29%29%29%2F110
:
W = 91.4-%28%2810.5%2B%286.7%2A3.873%29-+6.75%29%28457-50%29%29%2F110
:
W = 91.4-%28%2810.5+%2B+25.95+-+6.75%29%28407%29%29%2F110
:
W = 91.4-%28%2829.7%29%28407%29%29%2F110
:
W = 91.4-%2812087.9%29%2F110
:
W = 91.4 - 109.89
:
W = -18.5 degrees wind chill
:
:
Chicago: t=20, v=25
W = 91.4-%28%2810.5%2B6.7%2Asqrt%2825%29-0.45%2825%29%29%28457-5%2820%29%29%29%2F110
:
W = 91.4-%28%2810.5%2B%286.7%2A5%29-11.25+%29%28457-100%29%29%2F110
:
W = 91.4-%28%2810.5+%2B+33.5+-+11.25%29%28357%29%29%2F110
:
W = 91.4-%28%2832.75%29%28357%29%29%2F110
:
W = 91.4-%2811691.75%29%2F110
:
W = 91.4 - 106.29
:
W = -14.88 degrees wind chill
:
It's a little colder in Minneapolis, but I doubt if one could notice it