An object's weight on the moon, M, varies directly as its weight on Earth, E. A person who weighs 55 kilograms on Earth weighs 8.8 kilograms on the moon. What is the moon weight of a person who weighs 90 kilograms on Earth?
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OpenStudy (imstuck):
this is a direct variation problem. It has a formula! That formula in your case is M = Ek, where k is the constant of variation, and what you have to solve for in order to find out what they want you to find out.
OpenStudy (imstuck):
Set it up like this:
OpenStudy (darkbluechocobo):
8.8=55k?
OpenStudy (imstuck):
|dw:1411411145986:dw|andd solve for k. Yes...what is k?
OpenStudy (darkbluechocobo):
k=(8.8/55k)?
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OpenStudy (imstuck):
yes...what is k? Solve it and get an answer for me ok?
OpenStudy (darkbluechocobo):
.16
OpenStudy (darkbluechocobo):
k=.16
OpenStudy (imstuck):
yes...now use that k in your next equation. M = Ek, M = 90(.16)
OpenStudy (imstuck):
See how that works?
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OpenStudy (darkbluechocobo):
so m=14.4
OpenStudy (imstuck):
They want to know the moon weight of a person who weighs 90 on Earth. So solving for the Moon weight, M, you have M = Ek or M = 90(.16).