The value of y varies jointly with the values of x and z. When x=4 and z=10, the value of y is 360.
What is the value of y when x=5 and z=12?
To find the value of y when x=5 and z=12, we can use the principle of joint variation.
Joint variation is expressed as y = kxz, where k is the constant of variation.
To find the constant of variation, we can use the given information when x=4, z=10, and y=360.
Plugging these values into the joint variation equation, we get:
360 = k * 4 * 10
Now we can solve for k:
k * 4 * 10 = 360
40k = 360
k = 360/40
k = 9
So the equation becomes:
y = 9xz
Now, we can substitute x=5 and z=12 into the equation to find y:
y = 9 * 5 * 12
y = 540
Therefore, when x=5 and z=12, the value of y is 540.