alyssacarvell alyssacarvell
  • 14-11-2018
  • Mathematics
contestada

For each direct variation find the constant of variation then find the value of Y when X equals -0.5. Y equals 2 when X equals 3

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lisboa lisboa
  • 24-11-2018

For direct variation y varies directly with x, then we use equation y = kx

Where k is the constant of proportionality

Given: Y equals 2 when X equals 3

We plug in 3 for x  and 2 for y and solve for k

y = kx

2 = k(3)

Divide both sides by 3

[tex]\frac{2}{3} =k[/tex]

Now we plug in 2/3 for k  

[tex]y=\frac{2}{3}x[/tex]

Given x=-0.5  and find out y

[tex]y=\frac{2}{3}(-0.5)[/tex]

y=-0.33

the value of y is -0.33 when x=-0.5


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