Question 26090: The radius is a bone in the human body that connects the elbow and the wrist. A woman with a radius 22 cm long should be about 160 cm tall, and a woman with a radius 26 cm long should be about 174 cm tall.
A. Write a linear equation relating height, y, to the length of the radius, x.
B. About how long should the radius be of a woman who is 157.5 cm tall?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You have two points of a line: (22,160) and (26,174).
Find the slope: (174-160)/(26-11)=14/4=7/2
Use one of the points and the slope value to find "b" in y=mx+b
160=(7/2)(22)+b
160=77+b
b=83
The equation you want is y=(7/2)x+83
Now, let height=y=157.5 cm and solve for x:
157.5=(7/2)x+83
(7/2)x=74.5
x=21.29 cm
Cheers,
Stan H.
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