Question

y varies inversely as x if y=6 when x=24 find x when y = 4

Answer 1

x will be 36 when y = 4.

Step-by-step explanation:

Given,

y ∝ 1/x

$y = \frac{k}{x}$   Eqn 1

Where k is proportionality constant.

It is given that y = 6 when x =24.

We will put this in Eqn 1 to find k.

$6=\frac{k}{24}\\6*24=k\\144=k\\k=144$

Now,

We have to find x when y = 4

Putting y=4 and k=144 in Eqn 1

$4=\frac{144}{x}\\\\x=\frac{144}{4}\\\\x=36$

x will be 36 when y = 4.

Keywords: constant, division

Learn more about constants at:

• brainly.com/question/10196212
• brainly.com/question/1021953

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