SOLUTION: z is jointly proportional to x3 and y2. If z = 172 when x = 6 and y = 6, find z when x = 4 and y = 3. (Round off your answer to the nearest hundredth.)

Algebra ->  Expressions-with-variables -> SOLUTION: z is jointly proportional to x3 and y2. If z = 172 when x = 6 and y = 6, find z when x = 4 and y = 3. (Round off your answer to the nearest hundredth.)       Log On


   



Question 1032107: z is jointly proportional to x3 and y2. If z = 172 when x = 6 and y = 6, find z when x = 4 and y = 3. (Round off your answer to the nearest hundredth.)
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean
z+=+kx%5E3y%5E2
If so, we plug in the original data to find k, then go from there...thus we have...
172+=+k%286%5E2%29%286%5E3%29
which gives us
k = .02212
Now we plug this in to the top equation and plug in the new x and y...
z+=+%28.02212%29%284%5E3%29%283%5E2%29 =
12.74