SOLUTION: There is a linear relationship between the wind speed at a given temperature and what that temp. "feels like". A higher wind speed will make the temp. feel colder. The table belo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: There is a linear relationship between the wind speed at a given temperature and what that temp. "feels like". A higher wind speed will make the temp. feel colder. The table belo      Log On


   

Question 114414This question is from textbook holt Algebra I
: There is a linear relationship between the wind speed at a given temperature and what that temp. "feels like". A higher wind speed will make the temp. feel colder. The table below shows what an unknown temperature t "feels like" at different wind speeds.
WIND SPEED (mi/h) 5 10 15
"FEELS LIKE" (F) 36 34 32
Write an equation in slope-intercept form relating the wind speeds to the unknown temperature.
Please show work and explain process. I have no idea what to do.
Thanks. This question is from textbook holt Algebra I

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
WIND SPEED (mi/h) 5 10 15
"FEELS LIKE" (F) 36 34 32
Write an equation in slope-intercept form relating the wind speeds to the unknown temperature.
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You want an equation that looks like: feels = (slope)*speed + b
You have three points but only need two to find the equation.
slope = [34-36]/[10-5] = -2/5
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Substitute into you equation form to solve for "b":
36=(-2/5)5+b
b = 38
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EQUATION:
feels = (-2/5)(speed) + 38
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Cheers,
Stan H.