Respuesta :
Answer:
150 is write answer
Step-by-step explanation:
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Answer:
y = 150
Step-by-step explanation:
Given that y varies inversely as x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation
To find k use the condition y = 6 when x = 30 , then
6 = [tex]\frac{k}{30^2}[/tex] = [tex]\frac{k}{900}[/tex] ( multiply both sides by 900 )
5400 = k
y = [tex]\frac{5400}{x^2}[/tex] ← equation of variation
When x = 6 , then
y = [tex]\frac{5400}{6^2}[/tex] = [tex]\frac{5400}{36}[/tex] = 150
