Joint Variation?

2020-04-08 12:58 am
Been stuck on this one for hours, absolutely no clue how to solve. 

Suppose z varies jointly with x and y. If z = -180 when y = 15 and x = -3, then find z when x = 7 and y = -5. *

回答 (1)

2020-04-08 1:03 am
z varies jointly with x and y, i.e. z ∝ xy
Hence, z = kxy, where k is a non-zero constant.

When y = 15 and x = -3, z = -180:
-180 = k(15)(-3)
k = 4
Hence, z = 4xy

When x = 7 and y = -5:
z = 4(7)(-5)
z = -140


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