Question

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

Answer 1

The answer is b.3.69

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!

Answer 2

Answer: a.9.75

Explanation:

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

`x_1y_1=x_2y_2`

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

`x*8=6*13\\\\\Rightarrow\ x=(6*13)/(8)\\\\\Rightarrow\ x=9.75`

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