SOLUTION: The table shows men's shoe sizes in the US and Europe. Write a rule for the European size as a function of the US' size, Then use youe functiob to predict the European size of a US

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Question 206663This question is from textbook Georgia High School Mathematics
: The table shows men's shoe sizes in the US and Europe. Write a rule for the European size as a function of the US' size, Then use youe functiob to predict the European size of a US size 11 shoe
US size: 3.5, 4, 4.5, 5, 5.5, 6,
European:35,35.5,36,36.5,37, 37.5
Please help me with this word problem, I have been trying several solution, but none of them seem to work. Any help at all would be apprecaited
Thank you
This question is from textbook Georgia High School Mathematics

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write a rule for the European size as a function of the US' size, Then use youe functiob to predict the European size of a US size 11 shoe
US size: 3.5, 4, 4.5, 5, 5.5, 6,
European:35,35.5,36,36.5,37, 37.5
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Notice that as the US size goes up one, the European size goes up one.
So the slope is 1
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Using th point (3.5 ,35) and the slope you can find the intercept:
35 = 1*3.5 + b
b = 31.5
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Equation:
E(x) = 1*x + 31.5
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Then use youe functiob to predict the European size of a US size 11 shoe
E(11) = 11 + 31.5
E(11) = 42.5
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Cheers,
Stan H.