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

y = 150

Step-by-step explanation:

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

y = ← k is the constant of variation

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

6 = = ( multiply both sides by 900 )

5400 = k

y = ← equation of variation

When x = 6 , then

y = = = 150

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18