supply the missing value if y varies jointly as x and z
Answers
Given : y varies jointly as x and z
To Find : Missing Values in Table
Solution:
Direct variation if a variable increases then other variable also increases with a constant factor y = kx
inverse variation if a variable increases then other variable decreases with a constant factor xy = k
Joint variation is a relationship between atleast three variables, where one variable varies directly with all other variables.
y = kxz
Combined Variation is a relationship between three or more variables where it is in direct variation with few variable and in inverse variation with other variable y = kx/z
y ∝ x
y ∝ z
y = kxz
30 = k(3)(5)
=> k = 2
y = 2xz
y x z k Equation
30 3 5 2 y=2xz
80 10 4 2 y=2xz
192 6 8 4 y= 4xz
60 10 2 3 y=3xz
48 16/3 12 3/4 y=(3/4)xz
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