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If z varies inversely as w, and z= 20 when w= 0.5, how do you find z when w= 30?

Answer 1

To find z when w=30, we can use the inverse variation equation. The equation for inverse variation is 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 of z and w into the equation.

When z=20 and w=0.5, we have 20 = k/0.5.

To solve for k, we can multiply both sides of the equation by 0.5:

20 * 0.5 = k

k = 10

Now that we have the value of k, we can substitute it back into the inverse variation equation to find z when w=30.

z = k/w

z = 10/30

z = 1/3

Therefore, when w=30, z is equal to 1/3.

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Answer 2

Eli Assouline

#1/3#

#z ∝ 1/w#

#z = k/w# ……[1]

Where #k =# proportionality constant

When #z = 20#, #w = 0.5# then

#z = k/w#

#20 = k/0.5#

#k = 20 xx 0.5#

#color(blue)k = 10#

When #w = 30#

Equation [1] will be

#z = k/w = 10/30 = 1/3#

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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.