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=\frac{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