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Q: If y varies inversely as x and y 5 when x 2 find x when y is 4?
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If y varies inversely as the square of x and y equals 4 when x equals 5 find y when x is 2?

25


If y varies inversely as x and y equals 24 when x equals 8 find y when x is 4?

y is 12


If y varies inversely as the square of x and y equals 4 when x equals 3 find y when x is 2?

The statement "y varies inversely as the square of x" means that in function form y(x) = k/x2, where k is an (initially) unknown constant. The second condition can be written in algebraic form as 4 = k/32 ; or k = 4 X 9 = 36; Then y(2) = 36/22 = 9.


Assume that y varies inversely with x and that y is 2 when x is 4 what is the equation of inverse variation?

2=8/4 the constant is 8 y-k/x i think.


The current in an electrical conductor varies inversely as the resistance of the conductor The current is 2 amperes when the resistance is 960 ohms What is the current when the resistance is?

4


X varies directly with y and inversely with z x equals 20 when y equals 8 and z equals 4 Find x when y equals 4 and z equals 8?

The answer is x=10. If: x=20 y=8 z=4 then: y=8/2=4 z=4*2=8 since x varies directly with y, meaning whatever happens to y, happens to x, so if y was divided by 2, then x should be divided by 2. After all, the inverse of division is multiplication.


If y varies inversely as the square of x and y equals 4 when x equals 5 findy y when x is 2?

y varies inversely as x2 so y = c/x2 for some constant c. When x = 5, y = 4 So c = x2y = 100 that is y = 100/x2 Then, when x = 2, y = 100/4 = 25


Complete the equation of variation where y varies inversely as x and y equals 4 when x equals 2?

xy = 8 or y = 8/x


What is it when Z varies directly with x and inversely with y When x 2 and y 4 z 3 What is the value of z when x 4 and y 9?

z = 8/3.


If y varies directly as x squared find k when x 2 and y 8?

If y varies directly as x and if x = 2 when y = 8 then k = 4.


What is 36 divided by 8?

4.5


If f x varies directly with x2 and f x 96 when x 4 find the value of f 2?

f(2) = 24.