Question

Write an equation that describes the following relationship: y varies inversely as the fourth power of u and when x = 2,y=7.y =

Answer 1

Given:

y varies inversely as the fourth power of x

For the inversely forth power of x is:

`y\propto(1)/(x^4)`

So the value of y is:

`y=(k)/(x^4)`

where,

k = constent

so the value of k is x=2 and y = 7.

`\begin{gathered} y=(k)/(x^4) \\ 7=(k)/(2^4) \\ k=7*2^4 \\ k=7*16 \\ k=112 \end{gathered}`

Then the function is:

`y=(112)/(x^4)`