Question 201325: Use the given data points to construct a linear model, then use the model to find the appropriate Celsius or Fahrenheit temp.
Degrees Fahreheit 32 122 185
Degrees Celsius 0 50 85
Choose any two data points and use them to construct a linear equation that models the data, with x being Celsius and y Fahrenheit. Then use the equation to find the Fahrenheit temp corresponding to 40 Degrees Celsius
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Degrees Fahreheit 32 122 185
Degrees Celsius 0 50 85
Choose any two data points and use them to construct a linear equation that models the data, with x being Celsius and y Fahrenheit. Then use the equation to find the Fahrenheit temp corresponding to 40 Degrees Celsius
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Use (0,32) and (50,122)
slope = (122-32)/(50-0) = 9/5
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Form: F = mC + b
m = 9/5 and F = 32 when C = 0
32 = (9/5)*0 + b
b = 32
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Equation:
F = (9/5)C + 32
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Then use the equation to find the Fahrenheit temp corresponding to 40 Degrees Celsius
F(40) = (9/5)*40 + 32
F(40) = 72 + 32
F(40) = 104 degree
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Cheers,
Stan H.
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