TASK: Forget the Formula
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- Emerald Greene
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1 Version A could not remember what it was. Mrs. Kersey remarked to you that if they just knew about the freezing point and boiling point of water for each temperature scale, the formula could easily be rediscovered. Mrs. Kersey has asked you to find the formula, showing all your calculations. 1. Define your variables to convert Celsius to Fahrenheit. Your known is ; this will be the independent variable. You are trying to find, which will be your dependent variable. 2. Complete the table: Celsius Fahrenheit Freezing Boiling 3. Write the data from the table as 2 ordered pairs. and (Remember, x is independent and y is dependent) 4. Sketch a graph and draw a line connecting the points. 5. Find the slope of the line you drew. May 2012 Page 23 of 59
2 6. What is the y-intercept of the line? 7. Write an equation for this relationship in slope-intercept form: 8. Use this information to convert the following Celsius temperatures into Fahrenheit temperatures. Celsius Temps Show work Fahrenheit Temps Now convert Fahrenheit to Celsius. Solve your formula for the other variable and write the equation below. (Hint: undo the addition on the right and then divide.) May 2012 Page 24 of 59
3 10. Convert the following Fahrenheit temperatures to Celsius. Fahrenheit Temps Show work Celsius Temps May 2012 Page 25 of 59
4 Version B could not remember what it was. Mrs. Kersey remarked to you that if they just knew about the freezing point and boiling point of water for each temperature scale, the formula could easily be rediscovered. Mrs. Kersey has asked you to find the formula, showing all your calculations. 1. Define your variables to convert Celsius to Fahrenheit: Independent: Dependent: 2. Use the freezing and boiling points to write 2 ordered pairs. 3. Sketch a graph and draw a line connecting the points. 4. Use the slope and the y-intercept of your graph to write an equation for this relationship. May 2012 Page 26 of 59
5 5. Use your equation to convert the following Celsius temperatures into Fahrenheit temperatures: 23 o, 5 o, 45 o 6. Now convert Fahrenheit to Celsius. Solve your formula for the other variable and write the equation here: 7. Convert the following Fahrenheit temperatures to Celsius: 53 o, 82 o, 98.6 o May 2012 Page 27 of 59
6 Version C could not remember what it was. Mrs. Kersey remarked to you that if they just knew the freezing point and boiling point of water for each temperature scale, the formula could easily be rediscovered. Mrs. Kersey has asked you to write an explanation for how to find the formula, showing all your calculations. Mrs. Kersey also wants you to use your written explanation to convert the following temperatures: 7 o C, 23 o C, 71 o C, 8 o F, 45 o F, 98.6 o F May 2012 Page 28 of 59
7 Version D could not remember what it was. Mrs. Kersey remarked to you that if they just knew about the freezing point and boiling point of water for each temperature scale, the formula could easily be rediscovered. Mrs. Kersey has asked you to write an explanation for how to find the formula, showing all your calculations. May 2012 Page 29 of 59
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