Question

Find an equation for y in terms of x

Answer 1

Answer:

y = $\frac{9}{x^2}$

Step-by-step explanation:

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

y = $\frac{k}{x^2}$ ← k is the constant of proportion

To find k use an ordered pair from the table

Using x = 3 when y = 1 , then

1 = $\frac{k}{3^2}$ = $\frac{k}{9}$ ( multiply both sides by 9 )

9 = k

y = $\frac{9}{x^2}$ ← equation of proportion