The value of x in the direct and indirect varoation is calculated as: x = 2.
What is Direct and Indirect Variation?
If k is the constant of proportionality among two or more variables (x, y, z), a combined equation of direct and indirect variation is, z = kx/y, if z varies directly with x and indirectly with y.
With the information stated, we would have the following:
z = kx/y³
Find k, by plugging in the values of x, y, and z:
12 = k(8/2³)
12 = k(8/8)
12 = k
k = 12
Find x when y = 1 and z = 24:
24 = 12(x)/1³
24 = 12x
24/12 = x
x = 2.
Therefore, the value of x in the direct and indirect varoation is calculated as: x = 2.
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