Question

If y varies inversely as x squaredand y = 6 when x = 30, what is y when x = 6?

Answer 1

Answer:

150 is write answer

Step-by-step explanation:

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Answer 2

Answer:

y = 150

Step-by-step explanation:

Given that y varies inversely as x² then the equation relating them is

y = $\frac{k}{x^2}$ ← k is the constant of variation

To find k use the condition y = 6 when x = 30 , then

6 = $\frac{k}{30^2}$ = $\frac{k}{900}$ ( multiply both sides by 900 )

5400 = k

y = $\frac{5400}{x^2}$ ← equation of variation

When x = 6 , then

y = $\frac{5400}{6^2}$ = $\frac{5400}{36}$ = 150