tanzima23 tanzima23
  • 26-01-2021
  • Mathematics
contestada

Find an equation for y in terms of x

Find an equation for y in terms of x class=

Respuesta :

jimrgrant1 jimrgrant1
  • 26-01-2021

Answer:

y = [tex]\frac{9}{x^2}[/tex]

Step-by-step explanation:

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

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion

To find k use an ordered pair from the table

Using x = 3 when y = 1 , then

1 = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

9 = k

y = [tex]\frac{9}{x^2}[/tex] ← equation of proportion

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