Answer:
y=20
Step-by-step explanation:
If y varies directly as x, we know that if x increases, y will increase in the same proportion.
If y varies inversely as z, we know that if z increases, z will decrease in the same proportion.
So, when x=10 and z=4, we have y=15.
Then, x increased to 20, so we make the proportion:
old_x/new_x = old_y/new_y
10/20 = 15/new_y
new_y = 20*15/10 = 30
The z value increased from 4 to 6, and y and z are inversely related, so:
(for that operation, our old_y will be 30)
old_z/new_z = new_y/old_y
4/6 = new_y/30
new_y = 30*4/6 = 20
So the value of y for x=20 and z=6 is y=20.
Answer: Y=10
Step-by-step explanation: Y=K(x/z) if y=15, x=10 and z=4 substituting in the equation
15 =K(10/4) solving by cross multiplication of 4 and 15 and dividing their product by 10 is K =6.
If x=20, Z=6 then Y = 6(20/6) then Y = 10.
