6.2+Converting+Temperatures

 07.06.09 LW

Big idea: Many real world situation can be modeled and predicted using mathematics. EQ: //y=//?

Two important reference points for temperature are the boiling point and the freezing point of water. Water freezes at 0 degrees C, or 32 degrees F. And it boils at 100 degrees C, or 212 degrees F.

Use this information to write an equation for the relationship between Fahrenheit degrees and Celsius degrees.

y= Fahrenheit x= Celsius

y= mx+b 32= 0m+b b=32 212=100m+b 212-32=100m 180=100m m=1.8

y=1.8x+32

__Follow up__

y= mx+b 32= 0m+b b=32 It tells us that when x=0, then y=32.
 * 1. Find the y-intercept for the equation you wrote in problem 6.2. What does the y-intercept tell you about the situation?**

y= mx+b 32= 0m+b b=32 212=100m+b 212-32=100m 180=100m m=1.8 The slope id 1.8. It tells us that Fahrenheits are bigger than Celsius. And that Fahrenheits go up faster.
 * 2. Find the slope for the equation you wrote in problem 6.2. What does the slope tell you about this situation?**

85=1.8x+32 1.8x=85-32=53 x=53/1.8= 29.44
 * 3. If it is 85 degrees F outside, what is the Celsius temperature?**

It would be about 29.4 degrees Celsius.

y=1.8x30+32 y=54+32=86
 * 4. If it is 30 degrees Celsius outside, what is the Fahrenheit temperature?**

It would be 86 degrees Fahrenheit.