SOLUTION: When a person is snowshoeing the pressure on top of the snow in psi varies inversely as the area of the bottom of the snowshoe in square inches. the constant of variation is the we

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Question 720562: When a person is snowshoeing the pressure on top of the snow in psi varies inversely as the area of the bottom of the snowshoe in square inches. the constant of variation is the weight of the person wearing the snowshoes in pounds.
a) Helen weighs 120 lbs. about how much pressure does she put on thop of the snow if she weaars snowshoes that cover 360 inches squared?
b) Max weighs 207 punds. if he exerts 0.4 psi of pressure on top of the snow what is the area of the bottom of his snowshoes in square inches.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
P=pressure in psi (pound per square inch)
W=weight in pounds
A=area in square inches
P varies inversely with A and the constant of variation is W
means P=W%2FA

a) W=120 and A=360 so P=120%2F360=1%2F3

b) W=207 and P=0.4 so 0.4=207%2FA
Solving for A :
0.4=207%2FA --> 0.4%2AA=207 --> A=207%2F0.4 --> A=517.5