Question

it is given that Z is inversely proportional to T 28 Z is equals to 28 when it is equals to t = 9. what will change in the value of Z when the value of t is doubled​

Answer 1

z=16

Explanation:

The general form of an Inverse Variation is given by

y=kx, where k is an unknown constant with x≠0andk≠0

In the equation above, observe that when the value of x is getting larger and larger, k being a constant, the value of y will be getting smaller and smaller.

This the reason why it is called an Inverse Variation.

For the problem we are solving, the equation is written as

z=kt, with k being the Constant of Proportionality

It is given that z varies inversely as t.

Problem says that z=6 when t=8

Now you can find k, the constant of proportionality.

Use

z=kt

⇒6=k8

Rewrite as

⇒61=k8

Cross-multiply to solve for k.

⇒k⋅1=6⋅8

⇒k=48

Your inverse equation now becomes

z=48t

Next, we need to determine the value of z when t=3

z=483, as t=3

⇒z=16

which is the required answer.

Hope it helps.

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