The constant of variation k is _____.
The value of z is _____.

The variable z varies jointly with x and y. If z = 18 when x = 2 and y = 6, find the constant of variation, k, and then find the value of z when x = −4 and y = 5.

Respuesta :

Answer:

Step-by-step explanation:

Z ∞ XY

Z = KXY

K is the constant of proportionality

If z = 18 when x = 2 and y = 6, find the constant of variation, k,

K = Z/XY

K = 18/(2×6)

K = 18/12

K = 3/2

K = 1.5

Z = 1.5XY

find the value of z when x = −4 and y = 5.

Z = 1.5 (-4×5)

Z = -30

Answer:

k= 5

z= -10

Step-by-step explanation:

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