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-y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?

Round to the nearest tenth, if necessary.


-y varies inversely with x, and k (the constant of variation) = 5.6. What is the value of y when x = 4?

Round to the nearest tenth, if necessary

Respuesta :

carlosego

Question 1:

For this case we have an equation of the form:

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

Where,

  • k: inverse variation constant.

Then, substituting values we have:

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

From here, we clear the value of k.

We have then:

[tex]k = 9.6 * 12\\k = 115.2[/tex]

Answer:

the constant of inverse variation is:

[tex]k = 115.2[/tex]

Question 2:

For this case we have:

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

Where,

  • k: constant of variation.

Then, substituting the value of the constant we have:

[tex]y =\frac {5.6} {x}[/tex]

We now substitute the value of x:

[tex]y = \frac {5.6} {4}\\y = 1.4[/tex]

Answer:

 the value of y when x = 4 is: [tex]y = 1.4[/tex]

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