Question

Find an equation for y in terms of x

Answer 1

y =
`(9)/(x^2)`

Explanation:

Given y is inversely proportional to x² then the equation relating them is

y =
`(k)/(x^2)` ← k is the constant of proportion

To find k use an ordered pair from the table

Using x = 3 when y = 1 , then

1 =
`(k)/(3^2)` =
`(k)/(9)` ( multiply both sides by 9 )

9 = k

y =
`(9)/(x^2)` ← equation of proportion