SOLUTION: Assuming a linear equation fits the data, what would be the weight for the height of a 6' 1" person?Height Weight5' 5" 150 lbs5' 7" 155 lbs6' 1" ?.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Assuming a linear equation fits the data, what would be the weight for the height of a 6' 1" person?Height Weight5' 5" 150 lbs5' 7" 155 lbs6' 1" ?.      Log On


   



Question 1042612: Assuming a linear equation fits the data, what would be the weight for the height of a 6' 1" person?Height Weight5' 5" 150 lbs5' 7" 155 lbs6' 1" ?.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
This linear relation can be plotted on the x-y
axis. The only ( slight ) catch is that usually x is
the independent variable and you could say:
A change in x causes a change in y
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I this case, I don't know which causes which, so I
can plot either height or weight on the x-axis
I'll say weight is on the x-axis and
height is on the y-axis
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I'll convert all heights to inches. here are the given points:
( 150, 65 )
( 155, 67 )
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Use the general point-slope formula:
+%28+y+-+65+%29+%2F+%28+x+-+150+%29+=+%28+67+-+65+%29+%2F+%28+155+-+150+%29+
++%28+y+-+65+%29+%2F+%28+x+-+150+%29+=+2+%2F+5+
Multiply both sides by +%28+x+-+150+%29%2A5+
+5%2A%28+y+-+65+%29+=+2%2A%28+x+-+150+%29+
+5y+-+325+=+2x+-+300+
+5y+=+2x+%2B+25+
+y+=+%282%2F5%29%2Ax+%2B+5+
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What is the weight for a height of 6' 1"
6' 1" = +73+ in
+73+=+%282%2F5%29%2Ax+%2B+5+
+365+=+2x+%2B+25+
+2x+=+340+
+x+=+170+
A 6' 1" person would weigh 170 pounds
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Here's the plot:
+graph%28+600%2C+400%2C+-20%2C+250%2C+-10%2C+150%2C+%282%2F5%29%2Ax+%2B+5+%29+