Home > Algebra > Inverse Variation Models

Suppose y varies inversely with x, how do you write an equation for the inverse variation if y = -2 when x = 1.2?

Answer 1

Kennedy Adams

Inverse variation can be represented as: # y = k/x#

# k = y.x#

where #color(green)(k# is the constant

# x = 1.2 and y = -2#

so , # color(green)(k) = 1.2 xx (-2)= -2.4#

Now as we have the value of #color(green)(k)# , the variation can be represented as. # y = -2.4/x# #y.x = -2.4#

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

Answer 2

Kennedy Adams

The equation for the inverse variation is y = k/x, where k is the constant of variation. To find the value of k, substitute the given values of y and x into the equation and solve for k. In this case, when y = -2 and x = 1.2, the equation becomes -2 = k/1.2. Solving for k, we get k = -2 * 1.2 = -2.4. Therefore, the equation for the inverse variation is y = -2.4/x.

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.