Algebra-2

If z varies inversely with x and directly with y, we can write the equation as:

z = k * (y / x)

where k is the constant of variation.

To find the value of k, we can substitute the given values of z, x, and y into the equation:

20 = k * (5 / (1/2))

Simplifying:

20 = k * (5 * 2)

20 = k * 10

Dividing both sides by 10: