SOLUTION: Use the given data points to construct a linear model, then use the model to find the appropriate Celsius or Fahrenheit temperature. Fahreheit 32 149 221 Celsius 0 65 105

Algebra ->  Equations -> SOLUTION: Use the given data points to construct a linear model, then use the model to find the appropriate Celsius or Fahrenheit temperature. Fahreheit 32 149 221 Celsius 0 65 105       Log On


   

Question 201410: Use the given data points to construct a linear model, then use the model to find the appropriate Celsius or Fahrenheit temperature.
Fahreheit 32 149 221
Celsius 0 65 105

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 temperature corresponding to 70° Celsius.
Answer by solver91311(24713) About Me  (Show Source):
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Use the two-point form of the equation of a line:



Where and are the coordinates of your two selected points. Choose one of the variables in the above to represent Fahrenheit and let the other represent Celsius. Alternatively, you could change all of the s to s, and the s to s.

Either way, once you have derived your equation, substitute 70 for the variable you have chosen to represent Celsius and then solve for the other variable.

John