z varies jointly with x and y. When x = 2 and y = 3, z = 60.
What is the value of z when x = 4 and y = 9?
If z varies jointly with x and y, that means z can be expressed as a product of x and y, multiplied by some constant k.
So, we can write the equation as z = kxy.
To find the value of k, we need to substitute the values of x, y, and z from the first scenario into the equation.
When x = 2, y = 3, and z = 60, we can write the equation as 60 = k(2)(3).
This simplifies to 60 = 6k.
Dividing both sides of the equation by 6, we get k = 10.
Now we know the value of k, we can use it to find the value of z when x = 4 and y = 9.
Using the equation z = kxy with k = 10, x = 4, and y = 9, we have:
z = 10(4)(9)
z = 360
Therefore, when x = 4 and y = 9, z = 360.