3426141282
3426141282 3426141282
  • 19-02-2019
  • Mathematics
contestada

If x=0.8 when y=360 and y varies inversely as x, find y when x=24

Respuesta :

jimrgrant1 jimrgrant1
  • 19-02-2019

Answer:

y = 12

Step-by-step explanation:

given that 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 x = 0.8 when y = 360, hence

k = yx =360 × 0.8 = 288

y = [tex]\frac{288}{x}[/tex] ← equation of variation

When x = 24, then

y = [tex]\frac{288}{24}[/tex] = 12

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