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Assume that y varies inversely with x. If y = 4 when x = 6, find y when x = 2

Sagot :

Answer:

y = 12

Step-by-step explanation:

Given y varies inversely with 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 = 4 when x = 6, then

4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

24 = k

y = [tex]\frac{24}{x}[/tex] ← equation of variation

When x = 2 , then

y = [tex]\frac{24}{2}[/tex] = 12

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