kayleemendoza04
kayleemendoza04 kayleemendoza04
  • 04-02-2017
  • Mathematics
contestada

What is the direct variation equation if y varies directly with x and
y = –5 when x = –15?

A. y= -10x


B. y= -3x


C. y= 3x


D. y= [tex] \frac{1}{3} [/tex]x

Respuesta :

Gidwn Gidwn
  • 04-02-2017
The answer is D. Even without plugging the answer choices in (which is an option), you know that 5 is 1/3 of 15 and 15 is 3 times 5. So if you multiply -15 by 1/3, you get -5. 
Answer Link
nobrains
nobrains nobrains
  • 04-02-2017
Direct variation is written in the form y = kx, where k is the constant of proportioanlity. To find k, substitute the given values y = -5 and x = -15 into the direct variation equation y = kx and solve for k.

y = kx
(-5) = k(-15)
k = 1/3

Now we rewrite the equation using the value of k.
y = (1/3)x
Answer Link

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