astercio1 astercio1
  • 26-03-2021
  • Mathematics
contestada

Suppose y varies jointly as x and z. If y=15 when x=1/2 and z=6, what is the constant of variation?

Respuesta :

zazome15 zazome15
  • 26-03-2021

Answer:

y= 15

Step-by-step explanation:

Y= Kxz

y=6  x=1/2   z=6

15= K (1/2) (6)

15= K (3)

K= 5

SO

y= (5) (1/2) (6)

Y= 15

Answer Link
jimrgrant1 jimrgrant1
  • 26-03-2021

Answer:

k = 5

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 15 when x = [tex]\frac{1}{2}[/tex] and z = 6 , then

15 = k × [tex]\frac{1}{2}[/tex] × 6 = 3k ( divide both sides by 3 )

5 = k

Answer Link

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