Chelseabrame07 Chelseabrame07
  • 14-12-2021
  • Mathematics
contestada

If y varies inversely as x, and y = 23 when x
8, find y when x 4.

Respuesta :

jimrgrant1 jimrgrant1
  • 14-12-2021

Answer:

y = 46

Step-by-step explanation:

Given y varies inversely as 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 = 23 when x = 8 , then

23 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )

184 = k

y = [tex]\frac{184}{x}[/tex] ← equation of variation

When x = 4 , then

y = [tex]\frac{184}{4}[/tex] = 46

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