Question

Suppose that y varies jointly with w and x and inversely with z and y = 24 when w = 8, X= 9 and z = 6. Write the equation that models the relationship. Then find y when w = 2, X= 20 and z = 8.

Answer 1

We would have the following:

`24=(8\cdot9)/(6)\cdot2`

From this, we will have the following expression:

`z=2\cdot(w\cdot x)/(y)`

Now, we determine the values after replacing the ones given:

`8=2\cdot(2\cdot20)/(y)\Rightarrow y=(4\cdot20)/(8)\Rightarrow y=10`

The value of y is 10.