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Question

Find the equation of variation if y varies jointly as w and the square of x and inversely as z, and y = 16 when w= 1, x= 4, and z = 2. The equation of variation is y =?

Answer 1

y = k(wx²)/z, for some constant, k

 

Since y = 16 when w = 1,x = 4, and z = 2, we have

 

16 = k[(1)(4)²]/2

 

16 = 8k

 

k = 2

 

So, y = 2(wx²)/z