Please Help... z varies inversely with x and directly with y. When x = 6 and y = 2, z = 5. What is the value of z when x = 4 and y = 9?

2016-06-17 5:34 pm
a 5/27
b 60
c 135/4
d 20/9

回答 (4)

2016-06-17 5:45 pm
✔ 最佳答案
z ∝ y/x
Then, z = ky/x where k is a non-zero constant.

x = 6 and y = 2, z = 5 :
(5) = k(2)/(6)
k = 15

Hence, z = 15y/x

when x = 4 and y = 9 :
z = 15(9)/4
z = 135/4

...... The answer is : C. 135/4
2016-06-20 3:29 pm
Thank you so much :)
2016-06-17 7:27 pm
z = k y / x
x z / y = k = 30 / 2 = 15

z = 15 x 9 / 4 = 135 / 4_____Option c
2016-06-17 5:42 pm
z varies inversely with x and directly with y
z = k y / x , where k is any constant

z=5; x=6; y=2
5 = k (2) / 6
5 = k / 3
k = 15

z = 15 y / x
when x=4 and y=9
z = 15 (9) / 4
z = 135/4 = 33.75


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