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Mathematics 10 Online
OpenStudy (darkbluechocobo):

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?

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)?

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?

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).

OpenStudy (darkbluechocobo):

Thank you for working out the details with me :3

OpenStudy (imstuck):

14.4 kilograms it is! That's 31.68 pounds.

OpenStudy (imstuck):

YW. TY for the medal!

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