The required value of z using given conditions is 7.92.
What is a function?
A function is defined as an expression or rule that specifies the relationship between two variables or objects, out of which one is dependent and the other is an independent variable. The image of each and every element is unique.
Calculation for the value of z
Given value of z = 1.5, x = 9, y = 4
Consider z as a function varying directly with x and inversely with y i.e.
z = kx / y —-- 1
Putting the values of x, y, z, we get,
1.5 = k × 9 / 4
6 = 9 × k
k = 6 / 9
k = 2 / 3 = 0.66
Now, calculating z for x = 6, k = 0.66 and y = 0.5, using equation 1,
z = (0.66 × 6) / 0.5
= 3.96 / 0.5
= 7.92
Hence, the required value of z = 7.92.
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