Respuesta :

Answer:

y = [tex]\frac{36}{121}[/tex]

Step-by-step explanation:

Given that 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 = 18 when x = 4

k = yx = 18 × 4 = 72, so

y = [tex]\frac{72}{x}[/tex] ← equation of variation

When x = 242, then

y = [tex]\frac{72}{242}[/tex] = [tex]\frac{36}{121}[/tex]

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