The variable z varies jointly with x and y. If z = 18 when x = 2 and y = 6, find the constant of variation, k, and then find the
value of z when x = −4 and y = 5.
The constant of variation k is _____.
The value of z is _____.
1 answer:
Answer:
The constant of variation k is 3/2.
The value of z is -30.
Step-by-step explanation:
As we know Function form is
Z=kxy-------------1
So for k
K = z/xy
So if z=18, x=2 y=6
k= 18/2 x6
k= 18/12
k=3/2
Now we have to find for z, now we know the value of x= -4 y =5 z =3/2
z= kxy
z= 3/2 (-4)(5)
z= -30
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