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Mathematics 19 Online
OpenStudy (anonymous):

Which equations show direct variation between a and b? Choose all answers that are correct. A.b=0.7a B.b=1/8a-3 C.5(1/a)=b D. 1a=b

OpenStudy (anonymous):

2 fans

OpenStudy (mathmale):

First, please explain as best y ou can what "direct variation" means. If you get that right, it should be easy to choose the correct answer.

OpenStudy (anonymous):

i dont know

OpenStudy (anonymous):

fast

OpenStudy (mathmale):

Mind looking it up on Google? just type in "direct variation"

OpenStudy (anonymous):

their relationship is called a direct variation. It is said that one variable "varies directly" as the other. The constant ratio is called the constant of variation.

OpenStudy (mathmale):

Yes, so if x on the right side increases, y on the left side increases with it, and the constant k is called the proportionality constant. y=kx. That's the model for direct variation. Now look at your answer choices again.

OpenStudy (mathmale):

b=0.7a When a increases, does b also increase? or does b decrease?

OpenStudy (anonymous):

no

OpenStudy (mathmale):

Why do you believe b does not increase when a increases?

OpenStudy (anonymous):

oh is a increase it does

OpenStudy (anonymous):

so a,d

OpenStudy (mathmale):

b=0.7a represents direct proportion, yes. Very good.

OpenStudy (anonymous):

k

OpenStudy (mathmale):

Welcome to OpenStudy!

OpenStudy (anonymous):

Variable y varies directly with variable x, and y = 9 when x = 5. What is the constant of variation in decimal form?

OpenStudy (anonymous):

2

OpenStudy (anonymous):

problem

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