Express y in terms of x

see explanation

Step-by-step explanation:

(a)

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

y = ← k is the constant of variation

To find k use any ordered pair from the table.

Using (1, 4 ) , then

4 = = ( multiply both sides by 1

4 = k

y = ← equation of variation

(b)

When y = 25 , then

25 = ( multiply both sides by x² )

25x² = 4 ( divide both sides by 25 )

x² = ( take the square root of both sides )

x = ± = ±

Since x > 0 then x =

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.