SainT Posted September 27, 2007 Report Share Posted September 27, 2007 Heres my Q The temperature of 41 degrees Fahrenheit is equivalent to 5 degrees Celsius, and the temperature of 77 degrees Fahrenheit is equivalent to 25 degrees Celsius. At what temperature, the degree in Fahrenheit is the same as the degree in Celsius? Hint : First find the linear relationship between Celsius and Fahrenheit. Thoughts? Link to comment Share on other sites More sharing options...
foxshox Posted September 27, 2007 Report Share Posted September 27, 2007 I think the equation is like F=(9/5)C+32 The way you find this equation, is seeing that the C that you plug in to the Fahrenheit equation is +20 bigger. So you look at the difference, and since you know it is a linear equation, there are no squares. So subtract 77 from 41 which = 36. Then you find the difference from the first C to the second C. So you basically just have to use the slope formula from there .. (y1-y2)/(x1-x2). Which will be 36/20= 9/5. So you know the m in the y=mx+b. And all your left with is the b. So now all you do is plug in one of your values and solve for b. So 41=5*(9/5)+b. So 41-9=b. So b=32. And to get the equation for Celsius you can just solve for x which would just be 5/9(F-32)=C. Link to comment Share on other sites More sharing options...
deathcube Posted January 2, 2008 Report Share Posted January 2, 2008 The method above described is like circling the whole world just for going the the other coast, cmon man, cant you read the whole topic? It clearly says find the linear relation btw both of them: F=(9/5)C+32 since they're asking when will both values are the same then both variables are equal: F=(9/5)F+32 or C=(9/5)C+32 since C = F -4/5F = 32 then F = C = -40 The real trick here was to find the relation F=(9/5)C+32 wich 32 means the 0 value of C in F, and 9/5 is the difference between each degree Link to comment Share on other sites More sharing options...
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