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:

$24=\frac{8\cdot9}{6}\cdot2$

From this, we will have the following expression:

$z=2\cdot\frac{w\cdot x}{y}$

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

$8=2\cdot\frac{2\cdot20}{y}\Rightarrow y=\frac{4\cdot20}{8}\Rightarrow y=10$

The value of y is 10.