Which table represents a direct variation function?

Mathematics

2 answers:

Luda [366]4 years ago

5 0

Direct variation is y=kx where k is a constant

the fiest way to see if it is direct or not, is if x increases, then y increases as well,
then we see if y=kx is valid, basically if we have a constant of variation

the first one x increase and y increase
see if same constant
y=kx
-4.5=-3k
1.5=k
so

see next one
-1 and 3
-3=-1(k)
-3=-1(1.5)
-3=-1.5
false
not it

2nd is increase and y decrease, so not direct variation

3rd is x is same but y increase so nope

4th is x increase and y increase, now test the constant
-7.5=-3k
2.5=k

-1 and -2.5
-2.5=-1k
-2.5=-1(2.5)
-2.5=-2.5
true

answer is last option

Liula [17]4 years ago

3 0

Answer:

D on ed

Step-by-step explanation:

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8 0

3 years ago

Where do the equations y=2x and y=<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^

never [62]

Set 2x=x²-3 to each other.
Subtract 2x from both sides and get the following

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Rearranging the formula to make factoring easier, we get
x²-2x-3

Factor and you should get the following:
(x-3)(x+1)

set both equal to 0 and solve for x.

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Now plug both of these values back into one of your original equations to get your y-values. It does not matter which equation you plug your xs back into due to the fact they intersect at the same x, and thus will also intersect at the same y.

For times sake,
y=2x
plug in x=3 and get y=6
plug in x=-1 and get y=-2

Ergo, the equations y=2x and y=x²-3 intersect at
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8 0

3 years ago

Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr

Arte-miy333 [17]

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

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