SOLUTION: You are working on a new temperature scale that will unify the earth. After some thought you decide to call it the Mattie Mclamb-universal-scale. Let F denote the temperature in de

Question 995594: You are working on a new temperature scale that will unify the earth. After some thought you decide to call it the Mattie Mclamb-universal-scale. Let F denote the temperature in degrees Fahrenheit, and let X denote your new temperature scale. You want it to be such that if F=0 then X=8 and if F=100 then X=116. You also want X to be such that if you plot X against F you obtain a straight line. (This is described as "linear interpolation" in the textbook.) You obtain the formula
X=mF+b
where m =

and b =
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
(0,8) and (100,116) are two points.
Slope is (116-8)/100=1.08
line is by point slot formula. The first ordered pair is easier.
y-y1=m(x-x1)
y-8=1.08(x)
y=1.08x+8
m=1.08
b=8

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