Answered

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if y varies inversely as x and y= 1/2 when x=8, find y when x=-4. ​

Sagot :

Answer:

y = - 1

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = [tex]\frac{1}{2}[/tex] when x = 8 , then

[tex]\frac{1}{2}[/tex] = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )

4 = k

y = [tex]\frac{4}{x}[/tex] ← equation of variation

When x = - 4 , then

y = [tex]\frac{4}{-4}[/tex] = - 1

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