The value of y varies jointly with the values of x and z. When x=4 and z=9, the value of y is 360.
What is the value of y when x=5 and z=12?
its 600 there you go.
To find the value of y when x=5 and z=12, we can use the concept of joint variation.
Joint variation states that when two or more variables are directly proportional to each other, their product remains constant.
In this case, we have y varying jointly with x and z. This can be represented as:
y ∝ xz
To find the value of y when x=5 and z=12, we can set up a proportion using the given information:
y / 360 = (5 * 12) / (4 * 9)
Simplifying:
y / 360 = 60 / 36
Cross-multiplying:
36y = 360 * 60
Dividing both sides by 36:
y = (360 * 60) / 36
Simplifying:
y = 600
Therefore, when x=5 and z=12, the value of y is 600.
To find the value of y when x=5 and z=12, we need to use the concept of joint variation. In joint variation, a variable varies directly with the product of two or more other variables.
The given information states that y varies jointly with x and z. Mathematically, this can be expressed as:
y = k * x * z
Where k is the constant of variation.
We are given that when x=4 and z=9, the value of y is 360. Let's plug these values into the equation to determine the value of k:
360 = k * 4 * 9
Dividing both sides of the equation by (4 * 9) gives:
360 / (4 * 9) = k
Simplifying the equation further:
360 / 36 = k
k = 10
Now that we have determined the value of k, we can use it to find the value of y when x=5 and z=12. Plugging these values into the equation:
y = 10 * 5 * 12
Simplifying the equation further:
y = 600
Therefore, when x=5 and z=12, the value of y is 600.
y = k (xz)
when x=4, z = 9, y = 360
360 = k(36)
k = 10
so y = 10xz
sub in your given values to find y