ohedithgutierrez ohedithgutierrez
  • 03-02-2020
  • Mathematics
contestada

If y varies inversely with x and x=2.5 and y=100, what is x when
y=25

Respuesta :

jimrgrant1 jimrgrant1
  • 03-02-2020

Answer:

x = 10

Step-by-step explanation:

Given 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 x = 2.5, y = 100, then

k = yx = 100 × 2.5 = 250

y = [tex]\frac{250}{x}[/tex] ← equation of variation

When y = 25, then

25 = [tex]\frac{250}{x}[/tex] ( multiply both sides by x )

25x = 250 ( divide both sides by 25 )

x = 10

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