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B. Solve for the value of the constant of variation k, then find the missing value.

2. z varies jointly as x and y. If z = 3 when x = 3 and y = 15, find z when x = 6 and y = 9.

4. d varies jointly as h and g. If d = 15 when h = 14 and g = 5, find g when h = 21 and
d=8.



Sagot :

Step-by-step explanation:

2. z = kxy

3 = k ( 3 )( 15 )

3 = k 45

k = 45/3

k = 15

4. d = khg

15 = k ( 14 )( 5 )

15 = k 70

k = 15 / 70

k = 3/14

8 = ( 3/14 )( 21 )g

8 = 9/2g

g = 8 ÷ 9/2

g = 16/9

g = 1 7/9