Home > Algebra > Inverse Variation Models

If z varies inversely as w and z=10 when w=0.7, how do you find z when w=40?

Answer 1

To find z when w=40, we can use the inverse variation equation: z = k/w, where k is the constant of variation.

First, we need to find the value of k. We can do this by substituting the given values into the equation: 10 = k/0.7.

Solving for k, we multiply both sides of the equation by 0.7: k = 10 * 0.7 = 7.

Now that we have the value of k, we can substitute it into the inverse variation equation to find z when w=40: z = 7/40.

Therefore, when w=40, z is equal to 7/40.

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

Answer 2

Julia Adams

#z =280#

arrenge the inverse proportion #z/w# #z_1=10# #w_1 = 0.7#

#z_2 = z# find z #w_2 = 40#

#z_1 / w_1 = z_2/ w_2#

#10 /0.7 = z_2/40#

#400 = 0.7z#

#z = 280#

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.