GWay
contestada

If y varies inversely as x and x is 6 when y is 13, what is x when y is 8?

a.9.75

b.3.69

c.0.27

d.6.5

Respuesta :

krgspace03

Answer:

The answer is b.3.69

Step-by-step explanation:

To solve this, find the constant of variation. y=kx. So 13/6=2.16 8/2.16=3.69

So b is the correct answer.

Hope this helps!

JeanaShupp

Answer: a.9.75

Step-by-step explanation:

When two quantities x and y are in inverse proportion, then we equation shows inverse variation is given by :-

[tex]x_1y_1=x_2y_2[/tex]

Now, if y varies inversely as x and x is 6 when y is 13, then at y =8 , we have

[tex]x\times8=6\times13\\\\\Rightarrow\ x=\dfrac{6\times13}{8}\\\\\Rightarrow\ x=9.75[/tex]

Hence, if y varies inversely as x and x is 6 when y is 13, then when y is 8 , x=9.75.