robertjgarcia14 robertjgarcia14
  • 02-05-2020
  • Mathematics
contestada

If y varies directly as x , and y = 6 when x = 15, find y when x = 25

Respuesta :

emily41006
emily41006 emily41006
  • 02-05-2020

10

Step-by-step explanation:

let y=kx, k is constant

when y=6, x=15

6=k x 15

k=0.4

when x=25,

y= 0.4 x 25

y=10

Answer Link
jimrgrant1 jimrgrant1
  • 02-05-2020

Answer:

y = 10

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 6 when x = 15, thus

6 = 15k ( divide both sides by 15 )

k = [tex]\frac{6}{15}[/tex] = [tex]\frac{2}{5}[/tex]

y = [tex]\frac{2}{5}[/tex] x ← equation of variation

When x = 25, then

y = [tex]\frac{2}{5}[/tex] × 25 = 10

Answer Link

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