z is jointly proportional to x^3 and y^2. If z=172 when x=6 and y=6, find z when x=4 and y=3

Raynor2i

Raynor2i

Answered question

2022-08-01

z is jointly proportional to x 3 and y 2 . If z=172 when x=6 and y=6, find z when x=4 and y=3

Answer & Explanation

Tristan Pittman

Tristan Pittman

Beginner2022-08-02Added 14 answers

z = k x 3 y 2
If so, we plug in the original data to find k, then so from there thus we have
172 = k ( 6 2 ) ( 6 3 )
which given us
k=0.02212
Now we plug this in to the top equation and plug in the new x and y.
z = ( 0.02212 ) ( 4 3 ) ( 3 2 ) = 12.74

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