Complete the equation of variation where y varies inversely as x and y = 80 when x = 0.7.

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Respuesta :

Balzano Balzano · Answer 1 · 2017-06-21T22:33:17+02:00

y varies inversely with x
means that y=k/x
with x=0.7 and y=80
we have 80=k/0.7
k=0.7x80=56
so the equation is
y=56/x

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lublana lublana · Answer 2 · 2019-10-15T07:23:31+02:00

Answer:

[tex]y=\frac{56}{x}[/tex]

Step-by-step explanation:

We are given that y varies inversely with x.

y=80 when x=0.7

We have to write complete equation of variation

According to question

[tex]y\propto \frac{1}{x}[/tex]

[tex]y=\frac{k}{x}[/tex]

Where k=proportionality constant

Substitute the values then we get

[tex]80=\frac{k}{0.7}[/tex]

using multiplication property of equality

[tex]k=80\times 0.7=56[/tex]

Therefore, the equation is given by

[tex]y=\frac{56}{x}[/tex]