Question

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

Answer 1

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 = $\frac{1}{2}$ and z = 6 , then

15 = k × $\frac{1}{2}$ × 6 = 3k ( divide both sides by 3 )

5 = k

Answer 2

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