Question

Use the given information to find the unknown value:y varies jointly as x, z, and w. When x = 2, z = 6, and w = 6. then y = 144. Find y when x = 6, z = 1, and w = 1.y =

Answer 1

Joint variation:

`y=k\cdot x\cdot z\cdot w`

Procedure:

0. We have to calculate the value of ,k ,with the first given values.

`144=k\cdot2\cdot6\cdot6`

2. Simplifying:

`144=k\cdot2\cdot36`
`144=k\cdot72`
`k=(144)/(72)`
`k=2`

3. Finally, we find y using the second values given now that we now k.

`y=2\cdot6\cdot1\cdot1`

Answer: y = 12