Is 3y=9x a direct variation and if so, what is the constant?

Answer 1

#k=3#

#"a direct variation equation has the form"#
#•color(white)(x)y=kxlarrcolor(blue)"k is the constant of variation"#
#3y=9xlarrcolor(blue)"divide both sides by 3"#
#rArry=3x#
#"this is a direct variation equation with "k=3#
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Answer 2

Yes, it is. And constant is 3. See below

#3y=9x# is a direct variation because for two diferente values values of #x#, lets say #x_0# and #x_1# we have
#3y_0=9x_0# and #3y_1=9x_1# substracting both we have
#3y_0-3y_1=9x_0-9x_1#
#3(y_0-y_1)=9(x_0-x_1)# from here we have
#(y_0-y_1)/(x_0-x_1)=9/3=3#
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Answer 3

Yes, the equation (3y = 9x) represents a direct variation. The constant of variation is (3).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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