JOINT VARIATION
Suppose c varies jointly as a and b. if c=90 when a=30 and b=28, find c when a=42 and b=16.
The equation would be
c = kab
where x varies jointly as a and b ank k as the constant of variation.
Solve for k
Given
c = kab
90 = (30)(28)(k)
90 = 840k
90 / 840 = 840k / 840
k = 3/28
Find the value of c
Given
- a = 42
- b = 16
- k = 3/28
- c = ?
c = kab
c = (3/28)(42)(16)
c = (3)(42)(16) / 28
c = 2016 / 28
c = 72
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