Z varies directly with the product of x and y, when
x=2,y=0.5, z=4, so the function is z=

z = 4xy

Step-by-step explanation:

IF Z varies directly with the product of x and y, then;

Z = kxy

k is the proportionality constant

If x=2,y=0.5, z=4,

4 = k(2)(0.5)

4 = k * 2 * 1/2

4 = k

Swap

k = 4

Substitute into the original expression

z = kxy

z = 4xy

This gives the required expression

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step-by-step explanation: