Home > Algebra > Inverse Variation Models

If y varies inversely as x, how do you find the constant of variation and the inverse variation equation given y=90 when x =6?

Answer 1

To find the constant of variation (k) and the inverse variation equation, we can use the formula for inverse variation: y = k/x.

Given that y varies inversely as x, and y = 90 when x = 6, we can substitute these values into the equation to solve for k:

90 = k/6

To find k, we can multiply both sides of the equation by 6:

90 * 6 = k

540 = k

Therefore, the constant of variation (k) is 540.

The inverse variation equation is y = 540/x.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Genesis Allen

#y=540/x and x=540/y#.

#y=k/x#, where k is the constant ox proportionality. y=90, when x=6. So, k = xy =540. In this unique relation, the function #y^(-1)# is same as the function y.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.