ajpetermann123
ajpetermann123 ajpetermann123
  • 13-05-2021
  • Mathematics
contestada

31. Suppose that y varies inversely with x and that y = 4 when x = 6. What is an equation for the
inverse variation?
(1 po
6
Oy=
4x
24
y= —
2
24

Respuesta :

jimrgrant1 jimrgrant1
  • 13-05-2021

Answer:

y = [tex]\frac{24}{x}[/tex]

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

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

To find k use the condition y = 4 when x = 6 , then

4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

24 = k

y = [tex]\frac{24}{x}[/tex] ← equation of variation

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