COMBINED
VARIATION
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Combined Variation: Direct Proportion to One Variable, Inverse to Another, Slides of Mathematics
Examples and solutions for finding equations of combined variation, where a quantity y varies directly as a variable x and inversely as another variable z. Step-by-step calculations for various sets of values and provides the value of y for given values of x and z.
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2021/2022
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COMBINED
VARIATION
COMBINED VARIATION Let x, y, and z denote three quantities. Y varies directly as x inversely as z if there is some positive constant k such that
Example 2: Find an equation of combined variation in where y varies directly as x and inversely as z. One set of values is y=25, x=10, and z=2. Find the value of y when x=4 and z=6. Solution: ๐ฆ = ๐๐ฅ ๐ง ๐ฆ =
๐ป๐๐๐๐ , ๐ฆ = 1 0 3 ๐ค ๐h ๐ ๐ฅ = 4 ๐๐๐ ๐ง =6.
Q1: Find an equation of combined
variation. Then solve for the missing
value.
y varies directly as x and inversely as z, and y=6 when x=8 and z=4, find the value of y when x=12 and z=9.
Q2: Find an equation of combined
variation. Then solve for the missing
value.
y varies directly as x and inversely as z, and y=4 when x=3 and z=6, find the value of y when x=5 and z=20.
Q4: Find an equation of combined
variation. Then solve for the missing
value.
y varies directly as x and inversely as z, and y=8 when x= and z= , find the value of y when x= and z=3.
Q5: Find an equation of combined
variation. Then solve for the missing
value.
y varies directly as x and inversely as z, and y=6 when x=and z= , find the value of y when x= 8 and z=.
Q7: Find an equation of combined
variation. Then solve for the missing
value.
y varies directly as x and inversely as z, and y= when x= and z= , find the value of y when x= 2 and z=.
Q8: Find an equation of combined
variation. Then solve for the missing
value.
y varies directly as x and inversely as z, and y=5 when x= and z=, find the value of y when x= 9 and z=.
- Y =
- Y =
- Y =
- Y =
- Y =
- Y =
- Y = 1/
- Y =